Free Printable Geometry Units 2 and 3

1.

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

a)

If I eat, then I am hungry.

b)

If I don't eat then I am not hungry

c)

If I am not hungry, then I don't eat.

d)

If I am not hungry, then I eat.

2.

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

a)

It is Wednesday

b)

Jane doesn't have baseball practice

c)

If it is Wednesday

d)

Then Jane doesn't have baseball practice

3.

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

a)

If Max isn't grounded then he gets good grades.

b)

If Max doesn't get good grade then he will be grounded.

c)

If Max gets grounded then he doesn't get good grades.

d)

If Max gets good grades, the he will get grounded.

4.

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

a)

None of these

b)

If Jose doesn't have an allergic reaction, then he didn't eat fish.

c)

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

d)

If Jose has an allergic reaction, then he ate fish.

5.

Given the conditional;

"If Destiny goes to work tonight, then she will make money"

What is the conclusion?

a)

Destiny goes to work tonight

b)

Destiny doesn't go to work

c)

She will make money

d)

then she will make money

6.

Given the conditional;

"If Ty'Shawn is late then he will get a tardy"

What is the inverse?

a)

If Ty'Shawn is on time, then we won't get a tardy.

b)

If Ty'Shawn gets a tardy, then he is late.

c)

If Ty'Shawn is late then he won't get a tardy.

d)

If Ty'Shawn doesn't get a tardy, then he is on time.

7.

Given the conditional;

"If our class earns ten trucks, then we get a treat."

What is the contrapositive?

a)

If our class doesn't earn ten trucks then we don't get a treat.

b)

If our class doesn't get a treat, then we didn't earn ten trucks.

c)

If out class earns ten trucks then we don't get a treat.

d)

Trucks!

8.

Given the conditional;

"If it snows then school will be closed"

Which is the inverse?

a)

If school is open, then it didn't snow.

b)

If school is closed, then it snowed.

c)

If it doesn't snow, then school will be open.

d)

Let it Snow!

9.

Given the conditional;

"If it is a duck then it has a beak."

Which is the converse?

a)

If isn't not a duck, then it doesn't have a beak.

b)

If it is a duck, then it quacks.

c)

If it doesn't have a beak, then it's not a duck.

d)

If it has a beak, then it is a duck.

10.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Contrainverse

11.

When taking the converse we ___________ the hypothesis and conclusion.

a)

negate

b)

switch

c)

leave the same

d)

switch and negate

12.

When taking the inverse we _____________ the hypothesis and conclusion.

a)

negate

b)

switch

c)

switch and negate

d)

leave the same

13.

If I have a Siberian Husky, then I have a dog.

Identify the hypothesis.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

I have a dog.

14.

Given the conditional;

"If Destiny goes to work tonight, then she will make money"

What is the conclusion?

a)

Destiny goes to work tonight

b)

Destiny doesn't go to work

c)

She will make money

d)

then she will make money

15.

If AB=BC and BC=CE, then AB=CE

a)

Transitive property

b)

Multiplication of equality

c)

Reflective property of equality

d)

Distributive property of equality

16.

What is reason 5?

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Prove

17.

What is the REASON for Statement #1?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

18.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

19.

What is the correct reason for line 5 and 6?

a)

5.Transitive Property of equality 6. Substitution

b)

5.Algebra 6.Definition of ≅

c)

5.Substitution 6.Definition of ≅

d)

5.Angle addition postulate 6.Substitution

20.

What is the reason?

a)

Definition of vertical angles

b)

Angle addition postulate

c)

Definition of angle bisectors

d)

Vertical angles are congruent

21.

What is the relationship between <EAD and <DAC?

a)

They are a linear pair.

b)

They are complementary.

c)

They are supplementary.

d)

They are adjacent.

22.

If Q is between P and R, then PQ +QR=PR.

a)

Segment Addition postulate

b)

Definition of Midpoint

c)

Addition Property of equality

d)

Transitive Property

23.

What is the correct statement for 3?

a)

AD=EA

b)

AB=CD

c)

AB≅EF

d)

AB=EF

24.

What is the REASON for Statement #2?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of ≅

25.

a)

Substitution

b)

Angle Addition Post.

c)

Transitive

d)

Angle Addition

26.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

27.

What is the correct answer for the following proof?

a)

a.Given b. Subtraction c.6x-5=1 d. 5x-5=1 e.Substitution f.Division g.x=1/Substitution

b)

a.Given b.Subtraction c.6x-5=1 d.6x-5+5=1+5 e.Transitive Property f.Division g.x=1/Substitution

c)

a.Given b.Subtraction c.6x-5=1 d.6x-5+5=1+5 e.Substitution f.Division g.x=1/Substitution

28.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

29.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

30.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

31.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

32.

$\angle1\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

33.

$\angle1\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

34.

$\angle8$ and $\angle6$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

35.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

36.

$\angle3\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

37.

$\angle7\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

38.

$\angle4$ and $\angle8$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

39.

$\angle5$ and $\angle6$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

40.

$\angle5$ and $\angle6$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Vertical Angles

d)

Corresponding Angles

e)

Linear Pair

41.

$\angle1\$ and $\angle4$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

42.

$\angle1\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

43.

Which of the angle pairs below is a pair of corresponding angles?

a)

$\angle8$ and $\angle6$

b)

$\angle2\$ and $\angle6$

c)

$\angle2\$ and $\angle3$

d)

$\angle8\$ and $\angle5$

44.

Which of the angle pairs below is a pair of same-side interior angles?

a)

$\angle7\$ and $\angle6$

b)

$\angle2\$ and $\angle6$

c)

$\angle2\$ and $\angle4$

d)

$\angle8\$ and $\angle5$

45.

Which of the angle pairs below is a pair of alternate exterior angles?

a)

$\angle7\$ and $\angle6$

b)

$\angle2\$ and $\angle6$

c)

$\angle2$ and $\angle4$

d)

$\angle1\$ and $\angle5$

46.

Which of the angle pairs below is a pair of corresponding angles?

a)

$\angle7$ and $\angle5$

b)

$\angle2\$ and $\angle6$

c)

$\angle2\$ and $\angle8$

d)

$\angle1\$ and $\angle5$

47.

Which of the angle pairs below is a pair of alternate interior angles?

a)

$\angle7\$ and $\angle5$

b)

$\angle3\$ and $\angle7$

c)

$\angle4$ and $\angle8$

d)

$\angle1\$ and $\angle3$

48.

Which of the angle pairs below are a linear pair?

a)

$\angle7\$ and $\angle5$

b)

$\angle3\$ and $\angle6$

c)

$\angle4$ and $\angle8$

d)

$\angle2$ and $\angle3$

49.

Which of the angle pairs are vertical angles?

a)

$\angle7\$ and $\angle5$

b)

$\angle3\$ and $\angle5$

c)

$\angle4$ and $\angle8$

d)

$\angle2$ and $\angle1$

50.

In geometry, a plane is a ...

a)

flat surface

b)

a flying object

c)

grassy area

51.

A plane goes on forever?

a)

true

b)

false

52.

Parallel lines are lines that will...

a)

stop

b)

cross each other

c)

never cross each other

53.

Alternate exterior angles are outside of the parallel lines and on opposite sides of the ...

a)

angle

b)

measurement

c)

transversal

d)

vertex

54.

Alternate interior angles are on the ________ of the parallel lines but on opposite sides of the transversal.

a)

Outside

b)

Inside

c)

Opposite

d)

Vertex

55.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

56.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

57.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

58.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

59.

Which pair of angles must be supplementary so that r is parallel to s?

a)

∠2 and ∠3

b)

∠5 and ∠6

c)

∠4 and ∠10

d)

∠6 and ∠14

60.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

61.

If ∠5 ≌∠7, which of the following can be concluded?

a)

r is parallel to s by converse of Alternate Interior Angles Thm.

b)

u is parallel to v by Converse of Corresponding Angles Thm

c)

s is ⊥ u by Converse of Alternate Interior Angles Thm

d)

v ⊥ r by Converse of Alternate Exterior Angles Thm

62.

13) What is the reason for Statement 4?

a)

Substitution

b)

Converse of Alternate Exterior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Converse of Same-side Interior Angles Theorem

63.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

64.

What is the relationship?

a)

congruent (equal)

b)

supplementary (add to 180)

65.

What is the missing angle?

a)

36

b)

131

c)

49

d)

48

66.

What type of angles?

a)

alternate exterior

b)

corresponding

c)

vertical

d)

same side interior

67.

What equation?

a)

______ = ______ (congruent)

b)

______ + ______ = 180 (supplementary)

68.

What is the value of x?

a)

11

b)

9

c)

4

d)

-2

69.

What type of angles?

a)

corresponding

b)

vertical

c)

alternate exterior

d)

same side interior

70.

What equation?

a)

______ = ______ (congruent)

b)

______ + ______ = 180 (supplementary)

71.

What is the value of the BOLDED angle (45x)?

a)

105

b)

65

c)

90

d)

95

72.

Find the measure of the missing angle.

a)

30^o

b)

110^o

c)

150^o

d)

40^o

73.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

74.

Find the measure of each angle indicated.

a)

50

b)

55

c)

60

d)

70

75.

Find the measure of each angle indicated.

a)

50

b)

20

c)

29

d)

48

76.

Find the measure of each angle indicated.

a)

22

b)

25

c)

29

d)

55

77.

Find the measure of each angle indicated.

a)

62

b)

53

c)

71

d)

50

78.

Find the measure of each angle indicated.

a)

30

b)

39

c)

70

d)

28

79.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

80.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

81.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

82.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

83.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

84.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

85.

Find the indicated angle measure (What is ?)

a)

80°

b)

90°

c)

70°

d)

60°

86.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

87.

Solve for x.

a)

1

b)

2

c)

3

d)

4

88.

Solve for x

a)

85

b)

78

c)

95

d)

110

89.

Solve for x.

a)

13

b)

3

c)

1

d)

4

90.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

91.

Find m∠B.

a)

150°

b)

67°

c)

54°

d)

57°

92.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

93.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

94.

Find the missing angle

a)

112

b)

34

c)

146

d)

46

95.

What is the measure of angle A in the triangle?

a)

116*

b)

25*

c)

62*

d)

54*

96.

Find the measure of angle A.

a)

20 degrees

b)

22 degrees

c)

21 degrees

d)

100 degrees

97.

Find the measure of angle A.

a)

21 degrees

b)

31 degrees

c)

128 degrees

d)

24 degrees

98.

Find the measure of the indicated angle.

a)

35 degrees

b)

40 degrees

c)

25 degrees

d)

30 degrees

99.

Find the measure of the indicated angle.

a)

38 degrees

b)

43 degrees

c)

22 degrees

d)

76 degrees

100.

What is the sum of exterior angles of a triangle?

a)

180

b)

360

c)

540

d)

760

101.

In a triangle, what is the sum of the measures of the interior angles?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

102.

a)

y = 3x + 2

b)

y = 2x - 3

c)

y = 1/2x - 3

d)

y = -2x + 3

103.

a)

y = 4x + 3

b)

y = 1/3x - 3

c)

y = 3x + 4

d)

y = -1/3x + 4

104.

a)

x = 2

b)

y = 2

c)

y = 2x

d)

x = -2

105.

a)

x = -3

b)

y = 3

c)

y = -3

d)

x = 3

106.

What is the slope between these points?
(5, 7) and (3, 10)

a)

-3/2

b)

2/3

c)

-2/3

d)

3/2

107.

What is the slope between these points?
(-3, -1) and (1, -9)

a)

8/3

b)

1/2

c)

-2

d)

-4/9

108.

Find the equation of the line that has a slope of 3 and passes through (-4, 1).

a)

y = 3x - 11

b)

y = 3x + 13

c)

y = -4x - 13

d)

y = x + 11

109.

Find the equation of the line with a slope of 3/4 and passes through (4, -2).

a)

y = 4x - 2

b)

y = 3/4x - 2

c)

y = 3/4x + 1

d)

y = 3/4x - 5

110.

Find the equation of the line that is parallel to the line y = 2x - 1 and passes through the points (4, 6)

a)

y = 2x - 2

b)

y = -1/2x + 8

c)

y = 2x + 8

d)

y = -2x + 2

111.

Find the equation of the line that is perpendicular to the line y = 1/3x - 7 and passes through (1, -1).

a)

y = 1/3x - 1

b)

y = 3x - 4

c)

y = -3x + 2

d)

y = -3x - 1

112.

Find the equation of the line that passes through the points (-2, 3) and (-1, 7)

a)

y = 1/4x + 2

b)

y = -4x - 5

c)

y = 4x + 5

d)

y = 4x + 11

113.

Find the equation of the line that passes through the points (2, -6) and (0, -3)

a)

$y=-\frac{3}{2}x-3$

b)

$y=\frac{3}{2}x+3$

c)

$y=\frac{2}{3}x-6$

d)

$y=-\frac{3}{2}x-6$

114.

What is the slope intercept form for the equation x + 4y = -12?

a)

y = -x - 12

b)

y = 4x - 3

c)

y = -1/4x - 3

d)

y = 4x + 12

115.

What is the slope intercept form for the equation 3x - 5y = 30?

a)

y = 3/5x + 30

b)

y = -3/5x + 10

c)

y = 5/3x - 6

d)

y = 3/5x - 6

116.

Find standard form for the equation $y=\frac{3}{2}x-6$

a)

3x - y = 12

b)

2x - 3y = -12

c)

3x - 2y = 12

d)

3x + 2y = -6

117.

Find standard form for the equation $y=-\frac{5}{4}x+7$

a)

5x + 4y = 28

b)

4x - 5y = 7

c)

5x - 4y = -28

d)

5x + 4y = -7

118.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

119.

Which equation would be PARALLEL to the given line?

y=-\frac{7}{3}x+5

a)

$y=\frac{3}{7}x+3$

b)

$y=7x-2$

c)

$y=-\frac{1}{3}x+5$

d)

$y=-\frac{7}{3}x-8$

120.

The two lines 4x - 6y = 11 and 3x + 2y = 9 are...

a)

Parallel

b)

Perpendicular

c)

Neither

121.

Which equation is parallel to the x-axis and goes through the point (2, 5)?

a)

x = 2

b)

x = 5

c)

y = 2

d)

y = 5

122.

Which equation would be PERPENDICULAR to the given line?

y=-\frac{7}{3}x+5

a)

$y=\frac{3}{7}x+3$

b)

$y=7x-2$

c)

$y=-\frac{1}{3}x+5$

d)

$y=-\frac{7}{3}x-8$

123.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

124.

The graphs of the equations 5x - 3y = 12 and 10x - 6y = 24 are....

a)

Parallel

b)

Perpendicular

c)

Neither

125.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

126.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

127.

Which graph would be parallel to the graph of the equation y = - ⅔ x + 20

a)

b)

c)

d)

128.

What are parallel lines?

a)

Lines that intersect at one point

b)

Lines that intersect and form a 9o° angle

c)

Lines that do not intersect

d)

Lines that cross the x and y axis

129.

What are perpendicular lines?

a)

Lines that intersect at one point

b)

Lines that intersect and form a 9o° angle

c)

Lines that do not intersect

d)

Lines that cross the x and y axis

130.

Two lines that are parallel will have _________ slopes.

a)

opposite

b)

reciprocal

c)

opposite reciprocal

d)

equal

131.

Which of the following is the correct opposite reciprocal for

4

?

a)

$\frac{4}{1}$

b)

$-\frac{1}{4}$

c)

$-\frac{4}{1}$

d)

$\frac{1}{4}$

132.

Which of the following is the correct opposite reciprocal for

-\frac{4}{5}

?

a)

$\frac{4}{5}$

b)

$-\frac{5}{4}$

c)

$-\frac{4}{5}$

d)

$\frac{5}{4}$

133.

Line A is represented by the line

y=\frac{1}{4}x-4

. Line B is parallel to Line A. What is the slope of Line B?

a)

m = $-4$

b)

m = $\frac{1}{4}$

c)

m = $-\frac{1}{4}$

d)

m = $4$

134.

Line C is represented by the line

y\ =\ -5x\ -\ 5

. Line D is perpendicular to Line C. What is the slope of Line D?

a)

m = $-5$

b)

m = $5$

c)

m = $-\frac{1}{5}$

d)

m = $\frac{1}{5}$

135.

Line A is represented by the line

y=\frac{7}{3}x-4

. Line B is parallel to Line A. What is the slope of Line B?

a)

m = $-\frac{7}{3}$

b)

m = $\frac{3}{7}$

c)

m = $-\frac{3}{7}$

d)

m = $\frac{7}{3}$

136.

Line C is represented by the line

y\ =\ \frac{4}{5}x\ -\ 3

. Line D is perpendicular to Line C. What is the slope of Line D?

a)

m = $-\frac{5}{4}$

b)

m = $\frac{5}{4}$

c)

m = $-\frac{4}{5}$

d)

m = $\frac{4}{5}$

137.

Consider Line A and Line B. Line A: $y=-\frac{5}{4}x-1$ Line B: $y=-\frac{5}{4}x+2$ Line A and Line B are ____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

138.

Consider Line A and Line B. Line A: $y=-5x+3$ Line B: $y=\frac{1}{5}x+1$ Line A and Line B are ____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

Geometry Units 2 and 3

Total questions: 138

Worksheet time: 5hrs 34mins

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