Free Printable Extra Assignment #2

1.

a)

Ray

b)

Plane

c)

Line

d)

Segment

2.

a)

Ray

b)

Segment

c)

Line

d)

Point

3.

a)

Segment

b)

Arrow

c)

Line

d)

Ray

4.

Select the correct 4 Coplanar Points

a)

D,E,F,H

b)

D,F,G,H

c)

G,D,E,F

5.

Which 3 Points are Collinear?

a)

D,E,F

b)

G,D,E

c)

H,G,E

d)

G,E,F

6.

Given A, B, and C are collinear points on a segment AC. Find the length of BC, if AB = 7 units and AC = 18 units.

a)

12

b)

11

c)

25

d)

10

7.

Determine the measure of BC if AC = 32

a)

17

b)

18

c)

19

d)

16

8.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

9.

If M, N, O, and P are four points on a segment MP, what will be the correct expression to find the value of OP?

a)

OP = MP + (MN + NO)

b)

OP = MP + MN + NO

c)

OP = MP - (MN + NO)

d)

OP = MP - MN + NO

10.

Suppose AC = 48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

11.

2. Which is the correct name for the obtuse angle in the diagram?

a)

∠ACB

b)

∠ACD

c)

∠BCD

d)

∠C

12.

3. Find the indicated measure. (Enter number value only)

(a)

13.

4. Find the indicated angle measure. (Enter number value only)

(a)

14.

5-9. Match the angle with its correct measure and classification.

a)

∠MLN

1.

60, ACUTE

b)

∠NLP

2.

70, ACUTE

c)

∠NLQ

3.

120, OBTUSE

d)

∠OLP

4.

40, ACUTE

e)

∠MLQ

5.

180, STRAIGHT

15.

10. What equation can be used to help find ∠CBD?

a)

3x + 15 + x + 7 = 94

b)

3x + 15 = x + 7

c)

4x + 22 = 94

d)

3x + 15 = 94

16.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

17.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

18.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

19.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

20.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

21.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

22.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

23.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

24.

A part of a line consisting of two points and all points between them.

a)

ray

b)

endpoint

c)

line segment

d)

plane

25.

A point at one end of a segment or the starting point of a ray.

a)

line segment

b)

endpoint

c)

ray

d)

line

26.

It is a location and has no size, represented by a dot.

a)

ray

b)

endpoint

c)

point

d)

line

27.

A flat surface that has no thickness and extends forever.

a)

point

b)

line

c)

plane

d)

ray

28.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

29.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

30.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

31.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

32.

How many planes appear in the figure?

a)

4

b)

1

c)

6

d)

5

33.

Find the length UW if V is a midpoint (not to scale)

(a)

34.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

35.

Find the exact distance between J and K. No need for lowest radical form.

a)

$\sqrt{68}$

b)

$\sqrt{53}$

c)

$\sqrt{64}$ or 8

d)

$\sqrt{73}$

36.

Find the approximate distance between (-5, -8) and (-1, -16). Round to the nearest hundredth (x.xx)

a)

8.94

b)

4.47

c)

10.00

d)

24.86

37.

What is the slope between AB

a)

0

b)

5

c)

undefined

d)

-5

38.

Match the following terms with their correct definitions.

a)

A part of a line that starts at a point and extends indefinitely in one direction.

1.

Intersections in a Plane

b)

The exact middle point in a line segment.

2.

Ray

c)

The point where two lines or rays meet.

3.

Midpoint

d)

A part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints.

4.

Line Segment

39.

Which of the following statements accurately describe the properties of lines?

a)

Lines can be curved

b)

Lines extend indefinitely in both directions

c)

Lines have a definite beginning and end

d)

Lines are always straight

40.

Identify the statements that accurately describe the additive property of length.

a)

It states that the whole is greater than the sum of its parts

b)

It refers to the ability to add line segments together

c)

It is relevant only when dealing with curved lines

d)

It states that the length of a whole line is equal to the sum of its parts

e)

It implies that the length of a line segment cannot be negative

41.

Which of these statements are true about intersections in a plane?

a)

A line and a plane can intersect at a point

b)

Two planes can intersect at a line

c)

Two lines in a plane always intersect at a point

d)

Two lines in a plane can intersect at more than one point

e)

A line and a plane can intersect at a line

42.

YZ and XY are congruent.

a)

True

b)

False

43.

QR and PQ are congruent.

a)

True

b)

False

44.

QR and PQ are congruent.

a)

True

b)

False

45.

KN ≅ RS

a)

True

b)

False

46.

Which one is not a polygon?

a)

b)

c)

47.

which one is a polygon?

a)

b)

c)

48.

A polygon is...

a)

A shape with straight sides that meet at angles

b)

A shape with at least 5 sides

c)

A shape that has curved edges

d)

A shape that has 4 sides or more

49.

True or False: A circle is a polygon.

a)

True

b)

False

50.

A polygon is regular if....

a)

All angles are equal and all sides are equal

b)

Only all sides are equal

c)

Only all angles are equal

d)

All sides have different measurements

51.

Name this polygon.

a)

hexagon

b)

pentagon

c)

trapezoid

d)

octagon

52.

Name this polygon.

a)

quadrilateral

b)

triangle

c)

hexagon

d)

heptagon

53.

How many sides does a Quadrilateral have?

a)

4

b)

3

c)

6

d)

9

54.

What is this shape?

a)

ray

b)

trapezoid

c)

parallelogram

d)

rhombus

55.

Find the area.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

56.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

57.

Find the area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

58.

What is the perimeter of this rectangle?

a)

21 units

b)

12 units

c)

3 units

d)

None of the above.

59.

Find the area of the square.

a)

12,100 ft²

b)

440 ft

c)

220 ft²

d)

10,100 ft²

60.

Match the following

a)

60 square mm

1.

Area of parallelogram

b)

44 square mm

2.

Area of trapezoid

c)

104 square mm

3.

Area of composite figure

d)

a figure composed of two or more two-dimensional figures

4.

composite figure

e)

the number of square units a figure covers

5.

area

61.

What is the area of the figure?

a)

$275\ cm^2$

b)

$75\ cm^2$

c)

$125\ cm^2$

d)

$200\ cm^2$

62.

What is the area of the unshaded region?

a)

$117\ cm^2$

b)

$33.5\ cm^2$

c)

$58.5\ cm^2$

d)

$25\ cm^2$

63.

What is the area of the unshaded region? (a)

Choose from the below words

$16\ ft^2$

$32\ ft^2$

$8\ ft^2$

64.

Select the best estimate of the area of the figure?

a)

$150\ in^2$

b)

$14\ in^2$

c)

$36\ in^2$

d)

$50\ in^2$

65.

4. What is the area of the rectangle?

a)

30 mm²

b)

36 mm²

c)

45 mm²

d)

56 mm²

66.

The Pythagorean Theorem ONLY works on which triangle? #3

a)

obtuse

b)

scalene

c)

isosceles

d)

right

67.

Side a on a right triangle is ALWAYS the longest side. #4

a)

true

b)

false

68.

Find the length of the missing side. #1

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

69.

Find the length of variable h. #16

a)

35.60

b)

35.00

c)

35.71

d)

61.03

70.

Which equation reflects the right triangle shown? #21

a)

x² + 14² = 20²

b)

14² + 20² = x²

c)

14² – 20² = x²

d)

x² – 14² = 20²

71.

The legs of a right triangle have lengths of 10 and 24. What is the length of the hypotenuse? #27

a)

13

b)

14

c)

26

d)

34

72.

Give another name for plane M.

4 lines

73.

Name three collinear points.

(a)

74.

How many point/s are required to name a specific plane?

a)

3

b)

2

c)

$\infty$

d)

1

e)

0

75.

Name a point that is coplanar with line DF but not collinear.

a)

G

b)

H

c)

E

76.

A__________ is a fixed position in space and has no dimensions or size.

a)

Point

b)

Line

c)

Plane

d)

Cube

77.

Name two planes that contain line QP.

a)

Planes PSR, QNM

b)

Planes SPL, QRM

c)

Planes NML, QPR

d)

Planes PRQ, SLP

78.

A _______ consists of an infinite number of points which form a flat surface that extends in all directions forever.

a)

Point

b)

Line

c)

Line segment

d)

Plane

79.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

80.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

81.

Find the midpoint:

a)

$\left(-1,-3\right)$

b)

$\left(-2,-\frac{3}{2}\right)$

c)

$\left(-1,-\frac{5}{2}\right)$

d)

\left(-\frac{5}{2},-1\right)

82.

Find the midpoint:

a)

$\left(-\frac{3}{2},-\frac{5}{2}\right)$

b)

$\left(-1,-3\right)$

c)

$\left(-\frac{1}{2},-\frac{5}{2}\right)$

d)

$\left(-3,-1\right)$

83.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

84.

Find the midpoint of the line segment with the given endpoints.

(0, 2), (-2, -8)

a)

(1, 5)

b)

(-4, -18)

c)

(-1, -3)

d)

(1, -5)

85.

Find the midpoint of the line segment with the given endpoints.

(0, -3), (-2, -4)

a)

(-1.5, -3)

b)

(1, 0.5)

c)

(-1, -3.5)

d)

(-4, -5)

86.

Find the midpoint of the line segment with the given endpoints.

(8, -1), (6, -1)

a)

(4, -1)

b)

(7, -1)

c)

(1, 0)

d)

(3.5, 2.5)

87.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(-4, 2), M(8, 7)

a)

(20, 12)

b)

(-1, 7.5)

c)

(-6, -2.5)

d)

(1.5, -5.5)

88.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(10, -3), M(4, 3)

a)

(3, -3)

b)

(-7.5, 7.5)

c)

(-2, 9)

d)

(3.5, 3.5)

89.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(2, 7), M(-3, 10)

a)

(4.5, 3.5)

b)

(-8, 13)

c)

(4, -2.5)

d)

(2.5, -1.5)

90.

∠ACB is what type of angle?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

91.

∠ACD is what type of angle?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

92.

∠ECA is what type of angle?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

93.

∠ECD is what type of angle?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

94.

∠BCE is what type of angle?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

95.

∠DCE is what type of angle?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

96.

Solve for x

a)

3

b)

4

c)

27

d)

28

97.

Solve for x

a)

10

b)

24

c)

28

d)

68

98.

Solve for x

a)

37

b)

43

c)

47

d)

57

99.

Solve for x

a)

28

b)

38

c)

48

d)

71

100.

Solve for x

a)

24

b)

42

c)

48

d)

96

101.

Solve for x

a)

28

b)

14

c)

56

d)

15

102.

Solve for x

a)

Can't be determined

b)

45

c)

50

d)

90

103.

Complementary Angles are...

a)

Two angles that are next to each other.

b)

Two angles whose measures add up to $90\degree$

c)

Two angles whose measures add up to $180\degree$

d)

Two angles that are across from each other and whose measures are equal.

104.

Supplementary Angles are...

a)

Two angles that are next to each other.

b)

Two angles whose measures add up to $90\degree$

c)

Two angles whose measures add up to $180\degree$

d)

Two angles that are across from each other and whose measures are equal.

105.

True or False. These angles are complementary.

a)

True

b)

False

106.

Find M.

(a)

107.

True or False. ∠1 and ∠2 are vertical angles.

a)

True

b)

False

108.

What is the equation that could be used to solve for the missing angle measure?

a)

x + 64 = 90

b)

x = 64

c)

x + 64 = 180

d)

90 - x = 64

109.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

110.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

111.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

112.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

113.

What is the complement of an angle whose measurement is 84 degrees?

a)

96 degrees

b)

6 degrees

c)

86 degrees

d)

16 degrees

114.

What is an example of a pair of complementary angles?

a)

12° and 55°

b)

11° and 169°

c)

17° and 73°

d)

89° and 11°

115.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

116.

Find the supplementary angle for 51 degrees...

a)

129 degrees

b)

119 degrees

c)

126 degrees

117.

What equation can be written to find the value of x in the figure?

a)

$x+59=180$

b)

$x=59$

c)

$x+59=90$

d)

$x+59+90+180=4750000$

118.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

119.

Which of the following is true about the conditional statement below?

If you are flying, then you are in a

jet.

a)

Hypothesis: you are flying

Conclusion: you are in a

jet

b)

Hypothesis: IF you are flying

Conclusion: THEN you are in a

jet

c)

Hypothesis: THEN you are in a

jet

Conclusion: IF you are flying

d)

Hypothesis: you are in a

jet

Conclusion: you are flying

120.

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

a)

Hypothesis: you are in Alaska

Conclusion: you are

cold

b)

Hypothesis: IF you are in Alaska

Conclusion: THEN you are

cold

c)

Hypothesis: THEN you are

cold

Conclusion: IF you are in Alaska

d)

Hypothesis: you are

cold

Conclusion: you are in Alaska

121.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

122.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

123.

Which of the following is the CONVERSE of the statement below?

If your grade is a 96, then you are

making an A.

a)

If you are making an A, then your grade is a 96.

b)

If you are not making an A, then your grade is not a 96.

c)

If your grade is not a 96, then you are not making an A.

d)

There is no converse of the statement.

124.

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

a)

If you wear a uniform, then you play football.

b)

If you do not play football, then you do not wear a uniform.

c)

If you do not wear a uniform, then you do not play football.

d)

There is no converse of the statement.

125.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

126.

Which of the following is the INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

a)

If an object is not a battery, then it is not

rechargeable.

b)

If an object is rechargeable, then it is not a battery.

c)

If an object is not rechargeable, then it is not a battery.

d)

There is no inverse of the statement.

127.

Which of the following is the INVERSE of the statement below?

If an animal is black and white,

then it is a penguin.

a)

If an animal is not black and white, then it is not a penguin

b)

If an animal is a penguin, then it is black and white.

c)

If an animal is not a penguin, then it is not black and white.

d)

There is no inverse of the statement.

128.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

a)

If a species is not human, then it does not walk on two feet.

b)

If a species is human, then it walks on two feet.

c)

If a species does not walk on two feet, then it is not human.

d)

There is no contrapositive of the statement.

129.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a gem is a ruby, then it is red.

a)

If a gem is not red, then it is not a ruby.

b)

If a gem is not a ruby, then it is not red.

c)

If a gem is red, then it is a ruby.

d)

There is no contrapositive statement.

130.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

a)

If a species does not live in water, then it is not a fish.

b)

If a species is not a fish, then it does not live in water.

c)

If a species lives in water, then it is a fish.

d)

There is not contrapositive of the statement.

131.

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

a)

If there is not lightning, then there is not thunder.

b)

If there is thunder, then there is lightning.

c)

There is lightning if and only if (iff) there is thunder.

d)

There is no biconditional statement.

132.

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

a)

If it is not wet, then it is not water.

b)

If it is wet, then it is water.

c)

It is water if and only if (iff) it is wet.

d)

There is no biconditional statement.

133.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

a)

If an angle is acute, then it has a measure less than 90°.

b)

If an angle is not acute, then it does not have a measure less than 90°.

c)

If an angle is acute, then it is acute.

d)

If an angle does not measure less than 90°, then it is not acute.

134.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

An angle is acute if and only if (iff) it has a measure less than 90°.

a)

Biconditional

b)

Converse

c)

Inverse

d)

Contrapositive

135.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

a)

Contrapositive

b)

Converse

c)

Biconditional

d)

Inverse

136.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

a)

Converse

b)

Contrapositive

c)

Biconditional

d)

Inverse

137.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

a)

Inverse

b)

Contrapositive

c)

Biconditional

d)

Converse

138.

Match the following

a)

$\sim p\rightarrow\sim q$

1.

Inverse

b)

$q\rightarrow p$

2.

Converse

c)

$p\rightarrow q$

3.

Original Conditional

d)

$\sim q\rightarrow\sim p$

4.

Contrapositive

139.

What is the converse ( $q\rightarrow p$ ) of the statement:

If you are 13, then you are a teenager.

a)

If you are not 13, then you are a teenager.

b)

If you are 13, then you are not a teenager.

c)

If you are a teenager, then you are 13.

d)

If you are not a teenager, then you are not 13.

140.

What is the conclusion (q) of the statement:

If two angles are congruent, then they have the same degree.

a)

they have the same degree.

b)

two angles are congruent

c)

two angles are not congruent

d)

they do not have the same degree.

141.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:

If you play the guitar, then you are a musician.

a)

If you are a musician, then you play the guitar.

b)

If you are not a musician, then you do not play the guitar.

c)

If you do not play the guitar, then you are not a musician.

d)

If you play the guitar, then you are a musician.

142.

What is the inverse ( $\sim p\rightarrow\sim q$ ) of the statement:

If you play the guitar, then you are a musician.

a)

If you are a musician, then you play the guitar.

b)

If you are not a musician, then you do not play the guitar.

c)

If you do not play the guitar, then you are not a musician.

d)

If you play the guitar, then you are a musician.

143.

What is the negation of the hypothesis (~p) of the statement:

If two angles are congruent, then they have the same degree.

a)

they have the same degree.

b)

two angles are congruent

c)

two angles are not congruent

d)

they do not have the same degree.

144.

What is the contrapositive ( $\sim q\rightarrow\sim p$ ) of the statement:

If you are 13, then you are a teenager.

a)

If you are not 13, then you are a teenager.

b)

If you are 13, then you are not a teenager.

c)

If you are a teenager, then you are 13.

d)

If you are not a teenager, then you are not 13.

145.

Match the following

a)

$\sim p$

1.

Negation of the hypothesis

b)

$\sim q$

2.

Negation of the conclusion

c)

$p$

3.

Hypothesis

d)

$q$

4.

Conclusion

146.

A statement that contains the phrase “if and only if”

a)

converse

b)

inverse

c)

biconditional

d)

contrapositive

147.

Which type of statement is:

Two lines are perpendicular if and only if they intersect and 90 degrees.

a)

Biconditional

b)

Converse

c)

Contrapositive

d)

Inverse

148.

Which of the following statements are Conditional Statements

a)

I am not sure if that is an acute angle

b)

If an angle is a straight angle, then it measures 180°

c)

I do not like cauliflower.

d)

If you play basketball, then you know how to dribble.

149.

What is this mean?

a)

Conditional Statement

b)

Converse

c)

Inverse

d)

Contrapositive

150.

What does this mean?

a)

Conditional Statement

b)

Inverse Statement

c)

Converse Statement

d)

Contrapositive Statement

151.

What is this?

a)

Conditional Statement

b)

Inverse

c)

Converse

d)

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

152.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Negation

153.

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

a)

if

b)

then

c)

if and only if

d)

always

154.

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

a)

If an angle has 90 degrees, then it is a right angle.

b)

If an angle is a right angle, then it has 90 degrees.

c)

An angle is a right angle if and only if it has 90 degrees.

155.

Rewrite the following statement as a biconditional: "Supplementary angles add up to 180"

a)

If two angles add up to 180^o then they are supplementary.

b)

You can't it is conditional.

c)

Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.

d)

If two angles sum does not equal 180^othen they are notsupplementary.

156.

Write the true biconditional for the statement: $If\ x\ =\ 12,\ then\ 2x\ -\ 5\ =\ 19.\$

a)

$If\ 2x\ -\ 5\ =\ 19,\ then\ x\ =\ 12.\$

b)

$x\ =\ 12\ if\ and\ only\ if\ 2x\ -\ 5\ =\ 19.\$

c)

$x\ =\ 12\ and\ 2x\ -\ 5\ =\ 19.\$

d)

This statement cannot be written as a true biconditional.

157.

Select the conditional statement(s) of the biconditional statement.

Points are collinear if and only if they all lie in one line.

a)

If collinear points lie in one line, then they are a line.

b)

If points all lie in one line, then they are collinear.

c)

Collinear points lie in one line.

d)

If points are collinear, then they all lie in one line.

158.

Select the conditional statement(s) of the biconditional statement:

Points lie in one plane if and only if they are coplanar.

a)

Coplanar points lie in one plane.

b)

If points lie in one plane, then they are coplanar.

c)

If points are coplanar, then they lie in one plane.

d)

Planes have coplanar points.

159.

Select the TWO conditional statements of the biconditional statement:

I am a sophomore if and only if I am in 10th grade.

a)

If I am in 10th grade, then I am a sophomore.

b)

If I am a sophomore, then I am in 10th grade

c)

Sophomores are 10th graders

d)

If am not a sophomore, then I am not in 10th grade.

160.

Select the if-then statements that could have formed the following biconditional.

Two lines are perpendicular if and only if their slopes are opposite reciprocals.

a)

If two lines are perpendicular, then their slopes are the same.

b)

If two lines are perpendicular, then their slopes are opposite reciprocals.

c)

If two lines have opposite reciprocal slopes, then they are perpendicular.

d)

If two lines have opposite reciprocal slopes, then they are parallel.

e)

Two lines will always be parallel or perpendicular.

161.

Rewrite the following statement as a biconditional: "Supplementary angles add up to 180"

a)

If two angles add up to 180^o then they are supplementary.

b)

You can't it is conditional.

c)

Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.

d)

If two angles sum does not equal 180^othen they are notsupplementary.

162.

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

a)

It is not Friday

b)

It is Friday

c)

I will not get paid

d)

I will get paid

163.

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

a)

Look out for the snowplows while driving to school.

b)

The big test will not be given today.

c)

The roads will be hard to drive on.

d)

You should call the school to see if school is canceled.

164.

Inductive Reasoning means...

a)

Guessing

b)

Testing and observing patterns to make conjectures

c)

Explaining why

d)

Ura nok seblu!

165.

Deductive reasoning means...

a)

Guessing

b)

Ura nok seblu!

c)

Testing and observing patterns to make conjectures

d)

Making general observations of situations and applying them to specific situations.

166.

Since all humans are mortal, and I am human, then I am mortal.

a)

Deductive

b)

Inductive

167.

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.

a)

Deductive

b)

Inductive

168.

All chickens that we have seen have been brown; so, all chickens are brown.

a)

Deductive

b)

Inductive

169.

It is dangerous to drive on icy streets. The streets are icy now so it is dangerous to drive now.

a)

Deductive

b)

Inductive

170.

Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded.

a)

Deductive

b)

Inductive

171.

Obtuse angles are greater than 90 degrees. This angle is 110 degrees, so it is obtuse.

a)

Deductive

b)

Inductive

172.

All observed houses on South Street have roofs that are falling apart. Sherry lives on South Street. Her roof is falling apart.

a)

Deductive

b)

Inductive

173.

IF Jimmy named his first child Thing1
AND his second child Thing2
THEN He will name his 3rd child Thing3

a)

Inductive

b)

Deductive

174.

IF an apple a day keeps the doctor away.
AND Joe ate an apple every day.
THEN Dr. Dre stayed away.

a)

Inductive

b)

Deductive

175.

I saw the light on and the tea kettle is hot on the stove. Someone must be home.

a)

Deductive

b)

Inductive

176.

The type of reasoning where a person makes conclusions based on observations and patterns is called...

a)

Inductive reasoning

b)

Deductive reasoning

c)

Conjecture

d)

Experiments

177.

What is a conjecture?

a)

A statement believed to be true based on observations.

b)

An example which disproves an hypothesis.

c)

the performance of tricks that are seemingly magical

178.

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

a)

even

b)

odd

c)

zero

d)

positive

179.

Find the next term in the sequence:
A, D, G, J, _____

a)

L

b)

M

c)

P

d)

K

180.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

181.

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

a)

0

b)

12

c)

28

d)

42

182.

Which is a counterexample of: The difference of two numbers is less than the greater number.

a)

(5) - (2) = 3

b)

(-5) - (4) = -9

c)

(2) - 0 = 2

d)

(3) - (3) = 0

183.

facts or information indicating whether a belief or proposition is true or valid

a)

reasoning

b)

fallacy

c)

evidence

d)

warrant

184.

If L is the midpoint of TJ, what must be true?

a)

TL=JT

b)

JL=TJ

c)

TL=LJ

d)

T is also the midpoint of JL

185.

If M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

a)

Addition POE

b)

Def. of Midpoint

c)

Reflexive POE

d)

Symmetric

186.

If A = B, then 8A = 8B Which of the following "reasons" fits for the statement?

a)

Multiplication POE

b)

Division POE

c)

Reflexive POE

d)

Addition POE

187.

If <1 and <2 are complementary, then m<1 + m<2 = 90

a)

Addition POE

b)

Subtraction POE

c)

Def of right angle

d)

Def of Complementary Angles

188.

If X = Y, then X + 5 = Y + 5

a)

Addition POE

b)

Subtraction POE

c)

Reflexive POE

d)

Transitive POE

189.

What is the justification?

a)

Symmetric Prop.

b)

Angle addition postulate

c)

Reflexive Prop

d)

Transitive Prop.

190.

AB = AB

a)

Reflexive POE

b)

Transitive POE

c)

Symmetric POE

d)

Distributive POE

191.

Which is the correct reason for statement 2 in the proof?

a)

Given

b)

Transitive Property

c)

Definition of Congruent Angles

d)

Vertical Angles are congruent.

192.

What is the missing statement in the proof?

a)

2m∠ABD=m∠ABD+m∠ABD

b)

m∠ABD=m∠DBC

c)

m∠ABC=m∠ABC

d)

m∠ABD+m∠ABD=m∠ABD+m∠DBC

193.

Which symbol means "perpendicular"?

a)

∏

b)

∥

c)

∠

d)

⊥

194.

Fill in the reason for 5.

a)

Addition Postulate

b)

Substitution property

c)

Definition of midpoint

d)

Segment Addition Postulate

195.

Fill in the reason for 5.

a)

Addition Postulate

b)

Substitution property

c)

Definition of midpoint

d)

Segment Addition Postulate

196.

Fill in the statement for number 4.

a)

RA=RE +AE

b)

EL = EA + AL

c)

RE +EA= EA +AL

d)

RA = EL

197.

Fill in the statement for number 3.

a)

HA = AY

b)

HA = AP

c)

A is the midpoint of HP

198.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

199.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

200.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

201.

If O is between FX, then FO + OX = FX.

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Congruent Segments

d)

Vertical Angles Theorem

202.

What is the reason?

a)

Definition of congrucent

b)

Definition of midpoint

c)

Definition of segment

d)

Segment Addition

203.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Symmetric Property of Congruence

d)

Reflexive Property of Congruence

204.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Combine Like Terms

205.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

206.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

207.

a)

Multiplication Property of Equality

b)

Segment Addition Postulate

c)

Definition of Midpoint

d)

Symmetric Property of Congruence

208.

What is the justification?

a)

Definition of Congruence

b)

Segment Addition Postulate

c)

Transitive Property of Congruence

d)

Definition of Midpoint

209.

Match the following. #30

a)

C is the midpoint of $\overline{AE}$

1.

Given 1

b)

$\overline{AE}$ ≅ $\overline{EC}$

2.

Def. of Midpoint

c)

∠BCA≅∠DCE

3.

Vertical Angle Theorem

d)

$\overline{BC}$ ≅ $\overline{DC}$

4.

Given 2

e)

△ABC≅△EDC

and

∠A≅∠E

5.

SAS

CPCTC

210.

Which two angles are supplementary

a)

∠1 and ∠3

b)

∠2 and ∠6

c)

∠4 and ∠6

d)

∠7 and ∠8

211.

Which two angles are alternate exterior?

a)

1 & 3

b)

2 & 6

c)

4 & 7

d)

7 & 1

212.

Which of the following two angles are congruent?

a)

1 & 4

b)

4 & 5

c)

1 & 5

d)

7 & 8

213.

Which two angles are corresponding?

a)

4 and 8

b)

4 and 6

c)

1 and 2

d)

2 and 8

214.

If angle 2 is 70 degrees, what is the measure of angle 1?

a)

70 degrees

b)

20 degrees

c)

110 degrees

d)

180 degrees

215.

If angle 2 is 70 degrees, what is the measure of angle 4?

a)

70

b)

110

c)

20

d)

180

216.

Find x.

a)

130

b)

50

217.

Match the following statement with its reason to complete the proof

a)

Given

1.

<1 congruent to <2

b)

Vertical Angles Theorem

2.

<2 congruent to <3

c)

Transitive Property

3.

<1 congruent to <3

d)

Converse of Corresponding Angles Postulate

4.

m is parallel to n

218.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

219.

What is the value of x?

a)

13

b)

6.2

c)

29.8

220.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=3.4

b)

Complementary; x=45

c)

Supplementary; x=20

d)

Supplementary; x=175

221.

Solve for x

a)

6

b)

140

c)

20

d)

90

222.

a)

3x + 10 + 3x - 28 = 360

b)

-18x = 180

c)

6x + 18 = 180

d)

6x - 18 = 180

223.

Angles that lie on opposites sides of the transversal and outside of the parallel lines.

a)

Alt. Int. Angles

b)

Vertical Angles

c)

Alt. Ext. Angles

d)

Same-Side Int. Angles

224.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

225.

To plot a point: Start at the origin and go...

a)

right then up

b)

up then right

c)

down then right

226.

The coordinate (0,0) is also called the ___.

a)

y-axis

b)

x-axis

c)

origin

227.

Which axis runs horizontally (left and right)?

a)

x-axis

b)

y-axis

228.

Which axis runs vertically (up and down)?

a)

x-axis

b)

y-axis

229.

Which is the Y coordinate of (4, 9)?

a)

4

b)

9

230.

In the coordinate points (2, 7) the 2 represents ___.

a)

the Y coordinate

b)

the origin

c)

the X coordinate

231.

Which letter is located at (4, 6)?

a)

Q

b)

R

232.

The coordinates for Point S are ( __ , __ )

a)

(4, 6)

b)

(6, 4)

233.

How do you write an ordered pair?

a)

(X, X)

b)

(Y, X)

c)

(X, Y)

d)

(Y, Y)

234.

What is the ordered pair?

a)

(8, 2)

b)

(2, 7)

c)

(2, 8)

235.

The coordinates for the origin are ( __ , __ )

a)

(1, 1)

b)

(0, 0)

236.

What are the coordinates of point X?

a)

(5, 5)

b)

(2, 3)

c)

(4, 4)

237.

What are the coordinates for point R?

a)

(2, 5)

b)

(0, 1)

c)

(1, 0)

238.

The origin is where the x-axis and y-axis intersect

a)

True

b)

False

239.

The ORIGIN is located at-

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

240.

What is the ordered pair of point E?

a)

(2,5)

b)

(5,2)

c)

(3, 4)

241.

What is the ordered pair of point B?

a)

(2,2)

b)

(8,2)

c)

(2,8)

242.

To plot a point: Start at the origin and go...

a)

right then up

b)

up then right

c)

down then right

243.

The coordinate (0,0) is also called the ___.

a)

y-axis

b)

x-axis

c)

origin

244.

Which axis runs horizontally (left and right)?

a)

x-axis

b)

y-axis

245.

Which axis runs vertically (up and down)?

a)

x-axis

b)

y-axis

246.

Which is the Y coordinate of (4, 9)?

a)

4

b)

9

247.

In the coordinate points (2, 7) the 2 represents ___.

a)

the Y coordinate

b)

the origin

c)

the X coordinate

248.

Which letter is located at (4, 6)?

a)

Q

b)

R

249.

The coordinates for Point S are ( __ , __ )

a)

(4, 6)

b)

(6, 4)

250.

How do you write an ordered pair?

a)

(X, X)

b)

(Y, X)

c)

(X, Y)

d)

(Y, Y)

Extra Assignment #2

Total questions: 250

Worksheet time: 17hrs 49mins

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