Free Printable Geometry Semester 1 Master Review

1.

Which two angles are Same-Side Interior Angles

a)

Angles 2 and 3

b)

Angles 1 and 3

c)

Angles 3 and 7

d)

Angles 3 and 5

2.

Which are two Alternate Exterior Angles?

a)

Angles 1 and 6

b)

Angles 1 and 4

c)

Angles 1 and 8

d)

Angles 3 and 7

3.

Which are two Corresponding Angles?

a)

Angle 2 and 3

b)

Angle 1 and 2

c)

Angle 2 and 7

d)

Angle 2 and 5

4.

Which are two Alternate Interior Angles?

a)

Angles 2 and 6

b)

Angles 4 and 5

c)

Angles 4 and 7

d)

Angles 3 and 6

5.

What lines are parallel AJ? CLICK ALL THAT APPLY!

a)

BF

b)

EI

c)

AB

d)

FG

e)

DH

6.

Which lines are skew to JI? CLICK ALL THAT APPLY

a)

BF

b)

CD

c)

ED

d)

DH

e)

HG

7.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

8.

Find x

a)

80

b)

100

c)

90

d)

180

9.

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

a)

14

b)

12.5

c)

15

d)

25

10.

What is the slope of the line that is perpendicular to
y = 1/2(x) + 2.3

a)

-1/2

b)

-2

c)

2

d)

1/2

11.

Which of the following equations represents a line that is perpendicular to the line in the graph? Select all that apply

a)

y = -⅓ x + 5

b)

y = -3x + 7

c)

y = -3x + 1

d)

y = 3x + 5

12.

Are l1 and l2 perpendicular lines?

a)

Yes

b)

No

c)

I know, you have a 50/50 chance, you could just guess

d)

But it is YOUR test tomorrow that you will have to show work for

13.

What's the slope between the two points (1,4) and (3,9)

a)

-5/2

b)

-2/5

c)

5/2

d)

2/5

14.

What is the slope of this line?

a)

1

b)

-1

c)

(1,1)

d)

0

15.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

16.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

17.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

18.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

19.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

20.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

21.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

22.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

23.

Find y.

a)

$80\degree$

b)

$100\degree$

24.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

25.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

26.

Parallel lines have what kind of slope?

a)

The same

b)

Opposite Reciprocals

c)

Opposite

d)

None

27.

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

a)

14

b)

12.5

c)

15

d)

25

28.

What is the slope of the line that is perpendicular to
y = 1/2(x) + 2.3

a)

-1/2

b)

-2

c)

2

d)

1/2

29.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

30.

What is the name of the angle relationship between angle 1 and angle 3?

a)

Consecutive interior angles

b)

Vertical Angles

c)

Alternate exterior Angles

d)

Corresponding Angles

31.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

32.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

33.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

34.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

35.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincide

36.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincide

37.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

38.

Solve for x

a)

22

b)

26

c)

24

d)

23

39.

Find the slope of a line perpendicular to the line below.
y = 2x + 4

a)

2

b)

-1/2

c)

1/2

d)

-2

40.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

41.

What does "b" represent in y=mx+b

a)

y-intercept

b)

perpendicular

c)

nothing

d)

slope

42.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

43.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

44.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

45.

Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?

a)

y = 7/2x + 26

b)

y = 7/2x - 16

c)

y = 7/2x - 26

d)

y = 7/2x + 16

46.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

47.

Write the equation of a line PARALLEL to that passes through the point (3, 1). $y=-\frac{5}{2}x+10$

a)

$y=-\frac{5}{2}x\ +\ 6$

b)

$y\ =-\frac{5}{2}x+\frac{17}{2}$

c)

$y=\frac{2}{5}x+6$

d)

$y=\frac{2}{5}x+\ 8$

48.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

49.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

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

c)

$y=-4x+1$

d)

None are perpendicular.

50.

A point is translated 3 units left and 4 units up. What is the correct translation rule?

a)

T(x,y)→(x+3,y+4)

b)

T(x,y)→(x-3,y-4)

c)

T(x,y)→(x+3,y-4)

d)

T(x,y)→(x-3,y+4)

51.

a)

T(x,y)→(x+1,y-7)

b)

Horizontally 1 unit and vertically -7 units

c)

Left 1 Up 7

d)

T(x,y)→(x+1,y+7)

52.

What type of geometric figure is described in the notation?

a)

Line HG

b)

Ray HG

c)

Line GH

d)

Ray GH

53.

What geometric figure has a length and width and continues on forever in all directions?

a)

A line

b)

A point

c)

A line segment

d)

A plane

54.

a)

Left and Up

b)

Left and Down

c)

Right and Up

d)

Right and Down

55.

If a point is at (-10,6), and it gets translated horizontally -6 units and vertically 5 units, where is it's new location?

a)

(-5,0)

b)

(-16,1)

c)

(-15,0)

d)

(-16,11)

56.

a)

(4,-4)

b)

(9,-9)

c)

(4,10)

d)

(9,-5)

57.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

58.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

59.

Point C (-5, 4)

Reflect over the x-axis.

What is C'?

a)

(5, 4)

b)

(-5, -4)

c)

(5, -4)

d)

(-5, 4)

60.

What is the rule for a reflection over the y-axis?

a)

(x,y)→(-x,y)

b)

(x,y)→(x,-y)

c)

(x,y)→(-x,-y)

d)

(x,y)→(y,x)

61.

What is the rule for a reflection over the x-axis?

a)

(x,y)→(-x,y)

b)

(x,y)→(x,-y)

c)

(x,y)→(-x,-y)

d)

(x,y)→(y,x)

62.

B(-2, -4)

Reflect over the line y = x

What is B'?

a)

(2, -4)

b)

(-4, 2)

c)

(-4, -2)

d)

(4, 2)

63.

What is the rule for reflecting ( x , y )

over the line y = x?

a)

( -x , y )

b)

( x , -y )

c)

( y , x )

d)

( x , y )

64.

Point B ( -6,1)

Reflected over the line y = -x?

a)

(-1,-6)

b)

(6,-1)

c)

(1,6)

d)

(-1,6)

65.

What is this transformation?
(x, y) ----> (-x, y)

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Slide down 1

d)

slide left 1

66.

(x,y) maps onto which coordinates after reflection in the line y = -x?

a)

(-x,-y)

b)

(-y,-x)

c)

(y,x)

d)

(-y,x)

67.

Identify the rule after a 90° counter clockwise rotation:
(x, y) ---> ___________

a)

( y, -x)

b)

( -y, x)

c)

( -x, -y)

d)

( y, -x)

68.

Identify the rule after a 90° CLOCKWISE rotation:
(x, y) ---> ___________

a)

( x, -y)

b)

( y , -x)

c)

( -y, x)

d)

( -x, -y)

69.

Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________

a)

( -x, -y)

b)

( -y, x)

c)

( -x, y)

d)

(y, -x)

70.

Identify the rule after a 270° COUNTER CLOCKWISE rotation:(x, y) ---> ___________

a)

( y, x)

b)

( y, -x)

c)

( -x, -y)

d)

( x, y)

71.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

72.

Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.

a)

K' (-7, -8)

b)

K' (8, -7)

c)

K' (-8, 7)

d)

K' (8, 7)

73.

What is the image of M (3,2) after a rotation 270° counterclockwise?

a)

M' (-2, -3)

b)

M' (-2, 3)

c)

M' (2, -3)

d)

M' (-3, -2)

74.

Which of the following is the correct sequence of transformations that maps triangle ABC onto triangle DEF?

a)

A reflection over the x-axis followed by a translation moving up.

b)

A reflection over the y-axis followed by a translation moving up .

c)

A reflection through the origin followed by a translation moving down.

d)

A translation moving down followed by a reflection over the y-axis.

75.

Enlargement or reduction?

a)

Enlargement

b)

Reduction

76.

Dilations have which operation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

77.

Which of the following algebraic rules represents a dilation? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (3x, 2y)

c)

(x, y) --> (x - 3, y + 5)

d)

(x, y) --> (0.5x, 0.5y)

e)

(x, y) --> (3x, 0.5y)

78.

Which of the following algebraic rules represents a reduction? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

(x, y) --> (5x, 5y)

79.

Which of the following algebraic rules represents an enlargement? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

(x, y) --> (5x, 5y)

80.

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'? Write your answer with no spaces.

(a)

81.

Write the algebraic rule for the dilation. Don't put any spaces in your answer.

(a)

82.

Write the algebraic rule for the dilation. Don't put any spaces in your answer.

(a)

83.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

84.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

85.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

86.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

87.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

88.

How are the triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

AAS

89.

$\Delta BIG\cong\Delta LAD$ , which side is congruent to $\overline{BG}$ ?

a)

$\overline{BI}$

b)

$\overline{LA}$

c)

$\overline{AD}$

d)

$\overline{LD}$

90.

$\Delta BIG\cong\Delta LAD$ , which angle is congruent to $\angle B$ ?

a)

$\angle G$

b)

$\angle L$

c)

$\angle A$

d)

$\angle D$

91.

If $\Delta GAM\cong\Delta ERS$ , what angle is congruent to $\angle RES$ ?

a)

$\angle GAM$

b)

$\angle AGM$

c)

$\angle GMA$

d)

$\angle MAG$

92.

$\Delta GAM\cong\Delta ERS$ , $\overline{GA}=11$ , $\overline{GM}=8$ , and $\overline{AM}=7$ . What is the length of $\overline{ER}$ ?

a)

7

b)

8

c)

11

d)

26

93.

Given that $\Delta STA\cong\Delta BLE$ . If $m\angle S=97\degree$ and $m\angle T=43\degree$ ? What is the measure of angle L?

a)

$40\degree$

b)

$43\degree$

c)

$90\degree$

d)

$97\degree$

94.

Given that $\Delta STA\cong\Delta BLE$ . If $m\angle S=97\degree$ and $m\angle T=43\degree$ ? What is the measure of angle E?

a)

$40\degree$

b)

$43\degree$

c)

$90\degree$

d)

$97\degree$

95.

What is the name of the triangle congruent to $\Delta RPE$ ?

a)

$\Delta CFT$

b)

$\Delta FTC$

c)

$\Delta TFC$

d)

$\Delta FCT$

96.

What postulate or theorem proves that $\Delta ALE\cong\Delta RTE$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

97.

What triangle is congruent to $\Delta ALT$ ?

a)

$\Delta LRT$

b)

$\Delta RTL$

c)

$\Delta TLR$

d)

$\Delta TEL$

98.

What postulate or theorem proves that $\Delta ALT\cong\Delta RTL$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

99.

What triangle congruence postulate or theorem justifies the congruency of $\Delta RTO\ and\ \Delta BSO$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

100.

What triangle congruence postulate or theorem justifies the congruency of $\Delta IEL\cong\Delta EIF$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

101.

What parts of the triangles must be marked so that the triangles are congruent via SAS Postulate?

a)

$\angle B\ and\ \angle P$

b)

$\angle A\ and\ \angle E$

c)

$\angle G\ and\ \angle N$

102.

What parts of the triangles must be marked so that $\Delta HOE\ and\ \Delta POE$ are congruent via AAS Theorem?

a)

$\angle H\ and\ \angle P$

b)

$\angle HEO\ and\ \angle PEO$

c)

$\overline{HO}\ and\ \overline{PO}$

d)

$\overline{HE}\ and\ \overline{PE}$

103.

How are the triangles congruent?

a)

AAS

b)

SAS

c)

ASA

d)

SSS

104.

How are the triangles congruent?

a)

HL

b)

SAS

c)

ASA

d)

AAS

105.

a)

A

b)

B

c)

C

d)

D

106.

Are these triangles congruent?

a)

Yes, by ASA

b)

Yes, by SAS

c)

No they are not congruent

d)

Not enough information to know for sure

107.

What additional information is required to prove the 2 triangles are congruent by ASA

a)

A)

b)

B)

c)

C)

d)

D)

108.

For which situation could you prove

∆1≅ ∆2 using the H-L Theorem?

a)

I only

b)

II only

c)

I & II

d)

I & III

e)

III only

109.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

110.

How are the triangles congruent?

a)

SAS

b)

SSS

c)

AAS

d)

HL

111.

How are the triangles congruent?

a)

Not congruent

b)

SSS

c)

ASA

d)

SAS

112.

Solve for x

a)

8

b)

4

c)

12

d)

6

113.

a)

A

b)

B

c)

C

d)

D

114.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

115.

Find the value of x

(a)

116.

Find the value of x

a)

5

b)

15

c)

25

d)

35

117.

Given $\Delta ABC\ \cong\ \Delta DEF$ , find the value of x.

a)

17

b)

18

c)

19

d)

20

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 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.

121.

Name the figure.

(Select all that apply)

a)

$\overline{PV}$

b)

$\overrightarrow{PV}$

c)

$\overleftarrow{T}\overrightarrow{P}$

d)

$\overleftarrow{P}\overrightarrow{V}$

122.

Name the figure.

(Select all that apply)

a)

$\overrightarrow{OM}$

b)

$\overrightarrow{MO}$

c)

$\overrightarrow{MV}$

d)

$\overrightarrow{OV}$

123.

Name the angle shown.

(Select all that apply)

a)

$\angle Q$

b)

$\angle SQR$

c)

$\angle RSQ$

d)

$\angle RQS$

124.

Which angles are properly named?

a)

$\angle Q$

b)

$\angle P$

c)

$\angle S$

d)

$\angle R$

125.

Name the angle.

(Select all that apply)

a)

$\angle S$

b)

$\angle RST$

c)

$\angle TSR$

126.

Which of the following statements is incorrect?

a)

$\overline{BC}=\overline{DC}$

b)

$m\overline{BC}=m\overline{DC}$

c)

$\overline{BC}\cong\overline{DC}$

127.

Which of the following statements are correct?

a)

$\angle C=\angle A$

b)

$m\angle C=m\angle A$

c)

$\angle C\cong\angle A$

128.

Which of the following angles is not in the figure?

a)

$\angle TUW$

b)

$\angle VUW$

c)

$\angle VWT$

d)

$\angle TUV$

129.

Name the figure.

(Select all that apply)

a)

$\overrightarrow{CL}$

b)

$\overrightarrow{AL}$

c)

$\overrightarrow{CA}$

130.

Name the figure.

(Select all that apply)

a)

$\overleftarrow{J}\overrightarrow{A}$

b)

$\overleftarrow{A}\overrightarrow{W}$

c)

$\overleftarrow{J}\overrightarrow{W}$

131.

.

What kind of intersecting lines are these?

a)

Parallel Lines

b)

Perpendicular Lines

c)

adjacent

d)

opposite

132.

What is a line segment?

a)

Part of a line with that connects 2 points

b)

Part of a line that has 1 point

c)

A line that goes on without end

d)

Part of a line with 5 points

133.

What is a ray?

a)

Part of a line with 2 points

b)

Part of a line with 1 point and goes on forever

c)

Part of a line with 0 points

d)

Part of a line with 5 points

134.

This symbol,→ , means?

a)

and

b)

or

c)

not

d)

if, then

135.

What symbol is a negation?

a)

∨

b)

∧

c)

→

d)

~

136.

A counterexample is an example that proves a conjecture to be true.

a)

True

b)

False

137.

To fully disprove a conjecture, one needs to find only ONE counterexample.

a)

True

b)

False

138.

Which of the following is a counterexample to the following conjecture? If $x^2\ =\ 4$ , then x = 2

a)

x = 4

b)

x = -2

c)

x = 2

d)

x = -4

139.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

a)

goldfish

b)

frog

c)

elephant

d)

cat

140.

Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.

a)

quadrilateral

b)

rectangle

c)

square

d)

triangle

141.

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

a)

$40\degree\ and\ \ 140\degree$

b)

$80\degree\ and\ \ 80\degree$

c)

$30\degree\ and\ \ 150\degree$

d)

$90\degree\ and\ \ 90\degree$

142.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

a)

Invalid

b)

Valid

c)

Sammy is a Great Dane

d)

Sammy is really a cat.

143.

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

a)

You live in Disney Land

b)

You are an old person.

c)

You live in Florida

d)

You live in Orlando

144.

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

a)

Then it's not odd.

b)

Then it's a whole number.

c)

Then its square is divisible by 4

d)

Then it's even.

145.

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

a)

You have more energy

b)

If you exercise regularly, then you have more energy

c)

You have a healthy body

d)

If you do not have a healthy body, then you do not exercise regularly

146.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

a)

If the sun is not shining, we will not go hiking.

b)

If the sun is shining then we will go hiking.

c)

No conclusion can be made.

d)

If we go hiking, then it is a beautiful day.

147.

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

a)

If you return to the pool you will enjoy yourself.

b)

If you enjoy yourself, then you went to the pool.

c)

If you go to the pool, you will want to return.

d)

No conclusion can be made.

148.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

149.

What property of equality is shown below?

y - 12 = 30

y -12 + 12 = 30 +12

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

150.

What property of equality is shown below?
7n=28
7n $\div$ 7 = 28 $\div$ 7

a)

addition property of equality

b)

subtraction property of equality

c)

multiplication property of equality

d)

division property of equality

151.

if a=b, then b=a

a)

symmetric

b)

reflexive

c)

transitive

d)

substitution

152.

if a=b, and b=c, then a=c (the only 3 eq. property)

a)

transitive

b)

reflexive

c)

symmetric

d)

substitution

153.

if a(b+c)=ab+ac, then ab+ac=a(b+c)

a)

distributive

b)

substitution

c)

Associative

d)

communitive

154.

Identify this property.

If j = k, then k = j.

a)

Symmetric

b)

Reflexive

c)

Transitive

d)

Addition Property of Equality

155.

Fill in the reason for number 5.

a)

Definition of congruent angles

b)

Angle Addition Postulate

c)

Substitution Property

d)

Transitive Property

156.

Which is the correct reason for statements 2 and 4 in the proof?

a)

Corresponding Angles

b)

Substitution

c)

Definition of Congruent Angles

d)

Vertical Angles are congruent.

157.

Which property justifies the next step?

a)

Definition of linear pair

b)

Definition of supplementary angles

c)

Congruent supplements thm

d)

Linear pair postulate

158.

What is the reason?

a)

Transitive

b)

Substitution

c)

Middle Man

d)

Replacing

159.

What is the REASON for Statement #2?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

160.

1) Which statement restates the Given from the question?

a)

b)

c)

161.

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

162.

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

163.

Write the following statement in if-then form.
All students at Hermitage take an English class.

a)

If you take an English class, then you are a student at Hermitage.

b)

If you are a student at Hermitage, then you take an English. class

164.

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

165.

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

166.

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

167.

Using the Law of Syllogism, 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.

168.

p→q
q→r
∴p→r
Which law is modeled?

a)

Law of Syllogism

b)

Law of Detachment

c)

Law of Contrapositive

d)

Law of Shannon

169.

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

a)

∠A is complementary to ∠B

b)

∠A is acute.

c)

∠A is obtuse.

d)

∠A is 40⁰

170.

Can you assume the following is true based on the diagram:

Planes L and K intersect at Line PS?

a)

Yes

b)

No

171.

Can you assume the following is true based on the diagram:

Line MQ is in Plane L

a)

Yes

b)

No

172.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Division Property of Equality

d)

Addition Property of Equality

173.

Which reason justifies the statement?

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Subtraction Property of Equality

d)

Division Property of Equality

174.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Distributive Property

c)

Multiplication Property of Equality

d)

Division Property of Equality

175.

Step 1 is what

a)

addition property of equality

b)

given

c)

subtraction property of equality

d)

prove

176.

What is reason 5?

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Prove

177.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

178.

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 Vertical.

179.

The conclusion from this diagram is that angle 1 and angle 2 are a linear pair.

What's the reason for this conclusion?

a)

$m\angle1+m\angle2=180$

b)

Definition of linear pair

c)

Linear pair postulate

d)

definition of supplementary

180.

Which option best fills in the blank in the proof?

a)

Substitution Property

b)

Definition of Linear Pair

c)

Definition of Supplementary Angles

d)

Angle Addition Postulate

181.

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

182.

What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___

a)

32, 37

b)

30, 37

c)

30, 33

d)

32, 35

183.

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

184.

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

a)

Inductive

b)

Deductive

185.

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

a)

Deductive

b)

Inductive

186.

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

187.

Is Inductive or Deductive reasoning used in this situation?

The catalog states that all incoming freshman must take the math placement exam.

You are an entering freshman.

Therefore you must take the math placement exam.

a)

Inductive

b)

Deductive

188.

Consider the following statement.

If a figure is a square, then it has four sides.

New Statement: If the figure is not a square, then it does not have four sides.

What does the new statement represent?

a)

converse

b)

inverse

c)

contrapositive

189.

Consider the following statement.

If a figure is a square, then it has four sides.

New Statement: If the figure does not have four sides, then it is not a square.

What does the new statement represent?

a)

converse

b)

inverse

c)

contrapositive

190.

Consider the following statement.

If a figure is a square, then it has four sides.

New Statement: If the figure has four sides, then it is a square.

What does the new statement represent?

a)

converse

b)

inverse

c)

contraspositive

191.

Fill in the reason that justifies the step to solve for x in the diagram.

Given: QS = 42

Step: QR + RS = QS

a)

Division Property of Equality

b)

Segment Addition Postulate

c)

Simplify or CLT

192.

Find the value of the variable.

a)

2

b)

18

c)

1⁄2

d)

4 1⁄2

193.

Find the value of the variable.

a)

8 3⁄4

b)

25

c)

20

d)

40

194.

m∠3 = 57. Find m∠1.

a)

123

b)

133

c)

57

d)

47

195.

Find the values of x and y.

a)

x = 51, y = 129

b)

x = 129, y = 51

c)

x = 42, y = 17

d)

x = 17, y = 42

196.

What are the values of x and y?

a)

x=-7;y=5

b)

x=-10;y=-3

c)

x=33, y=147

d)

x=10; y=-3

197.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

198.

a)

vertical

b)

adjacent

c)

linear pair

d)

complimentary

e)

supplementary

199.

a)

vertical

b)

adjacent

c)

linear pair

d)

complementary

e)

supplementary

200.

What term is used to describe a pair, or group, of angles that equal 180 degrees?

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Congruent Angles

201.

right angle

a)

45

b)

90

c)

180

d)

100

202.

A part of a line that has one endpoint and continues infinitely in the other direction.

a)

Line Segment

b)

Line

c)

Ray

d)

Point

203.

straight angle

a)

45

b)

90

c)

100

d)

180

204.

which two angles are vertical?

a)

1 2

b)

2 3

c)

3 4

d)

2 4

205.

are angles 1 and 4 a linear pair?

a)

yes

b)

no

206.

Match the vocabulary word with its definition:

Congruent angles

a)

two angles whose measures have a sum of 90 degrees

b)

a pair of adjacent angles whose noncommon sides are opposite rays

c)

two angles whose measures have a sum of 360 degrees

d)

angles that have the same measure

207.

Which of these groups of points is noncollinear? (select all that apply)

a)

Q, P, V

b)

S, P, T

c)

T, V, R

d)

P, R, Q

208.

a)

AB = 31, BC = 31

b)

AB = 30, BC = 32

c)

AB = 40, BC = 22

209.

What is XY?

a)

XY = 7

b)

XY = 5

c)

XY = 1

d)

XY = 6

Geometry Semester 1 Master Review

Total questions: 209

Worksheet time: 11hrs 19mins

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