Free Printable Semester 1 Geometry Questions

1.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

2.

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

a)

Parallel

b)

Perpendicular

c)

Neither

3.

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

a)

Parallel

b)

Perpendicular

c)

Neither

4.

Are the lines parallel, perpendicular, or neither?

y=x+5

y=x-1

a)

Parallel

b)

Perpendicular

c)

Neither

5.

Are the lines parallel, perpendicular, or neither?
$y=4x+7$ $y=-\frac{1}{4}x+2$

a)

Parallel

b)

Perpendicular

c)

Neither

6.

Select the line that is perpendicular to

y = 5x - 10

a)

y = 5x - 3

b)

y = 1/5x - 3

c)

y = -1/5x + 4

d)

y = -5x + 4

7.

Are these lines parallel?

y = - 1/2x + 1

y = 1/2x - 5

a)

YES

b)

NO

8.

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

a)

Parallel

b)

Perpendicular

c)

Neither

9.

x= 7 and y = -4

These lines are:

a)

parallel

b)

perpendicular

c)

neither

10.

If the quadrilateral is translated (x, y)-->(x-4, y-5) what is the coordinates for Point A'?

(a)

11.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

12.

What is the rule for the following reflection?

a)

Reflection across y = −1

b)

Reflection across y = 1

c)

Reflection across x = −1

d)

Reflection across x = 1

13.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

14.

What is the algebraic notation of a figure is Translated 6 units right and 5 units up?

a)

(x, y) --> (x - 6, y + 5)

b)

(x, y) --> (x + 6, y + 5)

c)

(x, y) --> (x + 5, y - 6)

d)

(x, y) --> (6x, 5y)

15.

Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?

(a)

16.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

(a)

17.

If you were to rotate ABCD 180° about the origin, what would the coordinates of D' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-5, 2)

d)

(2, -5)

18.

What does this transformation say to do?
(x, y) -----> (x, y +4)

a)

down 4

b)

up 4

c)

right 4

d)

left 4

19.

You want to reflect a figure over the horizontal line shown.
What directions would you give?
Reflect over the line: ________

a)

x = -4

b)

y = -4

c)

x - y = 4

d)

None of these

20.

Which graph shows the pre-image reflected over x-axis?

a)

b)

c)

d)

21.

Which graph is showing the pre-image reflected over the y-axis?

a)

b)

c)

d)

22.

$\Delta AEY$ is being reflected across which line?

a)

y-axis

b)

x = -1

c)

y = 1

d)

y = -1

e)

x-axis

23.

What justifies the statement:

If M is the midpoint of AB, then AM = MB

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Reflexive Property

d)

Symmetric Property

24.

Given that ray AD bisects angle CAB (as shown) which statement must be true?

a)

$\angle CAD\cong\angle BAD$

b)

$m\angle CAD+m\angle CAB=m\angle DAB$

c)

$m\angle CAD+m\angle BAD=90\degree$

d)

$\angle CDA\cong\angle BAD$

25.

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

a)

Definition of Congruent Angles

b)

Definition of Angle Bisector

c)

Angle Addition Postulate

d)

Definition of Right Angle

26.

If m<1 + m<2 = 50 and m<2 = 10, then m<1 + 10 = 50

a)

Transitive property

b)

Substitution

c)

Definition of angle bisector

d)

Subtraction POE

27.

Which reason justifies the statement?

a)

Definition of Midpoint

b)

Addition Property of Equality

c)

Segment Addition Postulate

d)

Substitution Property of Equality

28.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Transitive Property of Equality

d)

Substitution Property of Equality

29.

What is the reason? $\angle DBE\ \cong\ \angle CBA$

a)

Vertical Angles are Congruent

b)

Alternate Interior Angles are Congruent

c)

Given

d)

Definition of midpoint

30.

M is the midpoint of AB, therefore...

a)

BM = AM

b)

BA = BA

c)

AB = 180

d)

$\angle BMA\ \cong\ \angle AMB$

31.

$Given:\ \ \overrightarrow{OB}\ bi\sec ts\ \angle AOC$

a)

$\angle AOB\ \cong\ \angle BOC$

b)

$\angle AOC\ =\angle AOB$

c)

$m\angle AOC\ =\ 180\degree$

d)

$AB\ =\ BC$

32.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Transitive Property of Equality

d)

Substitution Property of Equality

33.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

34.

If AB + CD = AB + DM then CD = DM

a)

Subtraction

b)

Addition

c)

Segment Addition

d)

Substitution

35.

If $\overrightarrow{KM}$ bisects $\angle LKJ$ and $m\angle JKM=22\degree$ find $m\angle LKJ$ .

a)

22

b)

44

c)

11

d)

68

e)

not enough information given

36.

Angle ABC measures 34^o. What is the measure of angle CBD?

a)

17^o

b)

34^o

c)

68^o

37.

In the figure below, $\overrightarrow{KN}$ bisects $\angle LKM$ . If $\angle LKM\ is\ 10x+4\ \ \ and\ \angle NKM\ is\ 3x+12$ find $\angle LKM$ .

(a)

38.

In the figure, $\overrightarrow{CQ}$ bisects $\angle PQR$ . If $\angle PQC\ is\ 2x-2\ \ \ and\ \angle PQR\ is\ 2x+10$ find $\angle CQR$ .

a)

7

b)

14

c)

12

d)

24

39.

What is the value of x?

a)

24

b)

48.5

c)

97.5

d)

48

40.

Are these triangles congruent, if so pick the correct congruence property?

a)

SSS

b)

SAS

c)

ASA

d)

AAA

e)

No

41.

Are these triangles congruent, if so pick the correct congruence property?

a)

ASA

b)

SSS

c)

SSA

d)

AAS

e)

No

42.

Are these triangles congruent, if so pick the correct congruence property?

a)

SSA

b)

SAS

c)

AAS

d)

No

e)

ASA

43.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAA

b)

ASA

c)

SAS

d)

No

e)

AAS

44.

What additional information is needed to show these triangles are congruent by AAS?

a)

<L ≅ < T

b)

<K ≅ <U

c)

MK ≅ SU

d)

<L ≅ <U

45.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAA

b)

ASA

c)

No

d)

SAS

e)

SSS

46.

Are these triangles congruent, if so pick the correct congruence property?

a)

SAS

b)

No

c)

ASA

d)

AAS

e)

AAA

47.

Are these two triangles congruent? If so, how?

a)

ASA

b)

SSS

c)

AAS

d)

SAS

e)

No

48.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

49.

What additional information is needed to say these triangles are congruent by SSS?

a)

RS≅DQ

b)

<R ≅ <D

c)

QS ≅ RS

d)

QD ≅ RQ

50.

Are these two triangles congruent? If so, how?

a)

SAS

b)

No

c)

AAS

d)

ASA

e)

HL

51.

What additional information is required to say these two triangles are congruent by ASA?

a)

DE ≅ LJ

b)

<F ≅ <L

c)

FE ≅ LK

d)

DE ≅ JK

52.

Name the congruence property, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

e)

SSS

53.

a)

Congruent by SSS

b)

Congruent by SAS

c)

Congruent by SSA

d)

Not Necessarily Congruent

e)

Congruent by ASA

54.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

55.

If AM=MB, which property proves the triangles congruent?

a)

SAS

b)

HL

c)

AAS

d)

ASA

e)

SSS

56.

Name the congruence property, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

e)

AAA

57.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

58.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

59.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

None

60.

Are the triangles congruent?

due to the parallel lines assume $\angle T\cong\angle V$

are the alternate interior pair

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

61.

What additional information is required to say these two triangles are congruent by SAS?

a)

CB ≅ LK

b)

CA ≅ LJ

c)

<K ≅ <B

d)

<C ≅ <L

62.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

63.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

64.

The rule (x, y) --> (1/2x, 1/2y) will produce what type of image?

a)

Similar figure that is an enlargement

b)

Similar figure that is a reduction

c)

Congruent figure

d)

None

65.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

66.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

67.

What is the scale factor for the given dilation?

a)

2

b)

3

c)

1/3

d)

1/2

68.

If Triangle ABC is dilated using a scale factor of 1/2, what will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

69.

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?

a)

(12, -3)

b)

(12, -6)

c)

(3, -1.5)

d)

(8, -5)

70.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

71.

Enlargement or reduction? Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

72.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

a)

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

b)

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

c)

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

d)

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

73.

A ~ B. What is the scale factor of the dilation of A to B?

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

3

d)

4

74.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

3

75.

Find the missing length.

a)

9

b)

18

c)

4.5

d)

16

76.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

77.

Which proportion is true if HJ is parallel to KL?

a)

$\frac{KL}{HJ}=\frac{KG}{LG}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

78.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

79.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

80.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

81.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

82.

Which equation will give us the correct answer for x?

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

83.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

84.

Solve for x.

a)

x = 5

b)

x = 3

c)

x = 14

d)

x = 1

85.

Which proportion is true if $BR\parallel ZP$ ?

a)

$\frac{GB}{GR}=\frac{BZ}{GP}$

b)

$\frac{GR}{GB}=\frac{BZ}{RP}$

c)

$\frac{GB}{BZ}=\frac{GR}{RP}$

d)

$\frac{GB}{GR}=\frac{BZ}{ZP}$

86.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

87.

What is the value of x?

a)

x = 15

b)

x = 13

c)

x = 12

d)

x = 11

88.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

89.

Given C is the midpoint of AB, which is true? (pick 2)

a)

AC=BC

b)

AB=BC

c)

AB=AC+BC

d)

AC=AB+BC

90.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

91.

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.

a)

8

b)

16

c)

41

d)

82

92.

RS bisects PQ. If OQ = -4x - 4 and PQ = -10x + 2, what does x equal?

a)

8

b)

28

c)

5

d)

36

93.

Given M is the midpoint of segment AB , AB = 6x + 14, and MB = 4x - 5, find x then find MB = _.

a)

12

b)

43

c)

9.5

d)

86

94.

D is the midpoint of EF. ED = 5x + 2 EF = 13x-5 Find EF.

a)

6.375

b)

17

c)

34

d)

22

95.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

96.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

97.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

98.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

99.

If ∆QRS ≅ ∆LMT, then

∠MTL ≅ ____

a)

∠QRS

b)

∠SRQ

c)

∠SQR

d)

∠RSQ

100.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

101.

If ∆QRS ≅ ∆LMT, then select all that are true. (pick more than one!)

a)

∠QRS=∠TML

b)

∠SQR=∠TLM

c)

QR=MT

d)

∠RSQ=∠LMT

e)

QS=LT

102.

What is the value of x?

(a)

103.

What is the value of y?

(a)

104.

What is the value of z?

a)

7

b)

11

c)

12

d)

23

105.

Name the corresponding side.

(a)

106.

If $\Delta ABC\cong\Delta DEF,\ m\angle A=50\degree,\ and\ m\angle E=30\degree,\ what\ is\ the\ m\angle C?$

a)

30

b)

50

c)

100

d)

120

107.

What is the value of y.

a)

7

b)

11

c)

12

d)

23

108.

Given that ∆EHG≅∆KFC. Which one is a true statement?

a)

EH=FK

b)

HG=KF

c)

EG=KC

d)

∠E=∠C

109.

Select all the TRUE statements.

a)

$m∠BCA=m∠B+m∠A$

b)

$m∠A+m∠B+m∠BCA=180$

c)

$m∠BCA=180-m∠BCD$

d)

$m∠B=m∠BCD$

110.

Find angle 2

a)

58

b)

72

c)

90

d)

60

111.

Find angle 1

a)

32

b)

72

c)

14

d)

50

112.

Find angle 3

a)

76

b)

72

c)

14

d)

40

113.

Which angle is complementary to $\angle LJM$

a)

$\angle MJN$

b)

$\angle NJP$

c)

$\angle FGE$

d)

$\angle LJK$

114.

Which of the following angles is $90\degree$ ?

a)

$\angle FGH$

b)

$\angle KJL$

c)

$\angle PJK$

d)

$\angle EGH$

115.

Name a pair of complementary angles.

a)

<LCP & <LCT

b)

<LR & <TP

c)

<LCN & <NCP

d)

<LCN & <NCR

116.

Name a pair of Supplementary Angles

a)

<TP & <LR

b)

<TCP & <PCT

c)

<TCR & <PCL

d)

<NCT & <NCP

117.

Name the vertical angle to
∠h.

a)

∠f

b)

∠i

c)

∠g

d)

∠j

118.

Name a pair of NON-adjacent complementary angles.

a)

<FJG and <GJH

b)

<CAD and <EJF

c)

<BAC and <CAD

d)

<EJF and <FJG

119.

Name a pair of NON-adjacent supplementary angles.

a)

<BAD and <EJH

b)

<CAD and <EJF

c)

<BAC and <EJG

d)

<EJF and <FJG

120.

Name the pairs of adjacent angles, you can pick more than one

a)

$\angle1\ \ and\ \angle4$

b)

$\angle3\ \ and\ \angle2$

c)

$\angle4\ \ and\ \angle5$

d)

$\angle3\ \ and\ \angle5$

121.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

122.

Given that C is between A and B, which Segment Addition statement is correct?

a)

AC + AB = CB

b)

AC + CB = AB

c)

AB + BC = AC

123.

RS bisects PQ. If OQ = -4x - 4 and PQ = -10x + 2, what does x equal?

a)

8

b)

28

c)

5

d)

36

124.

D is the midpoint of EF. ED = 5x + 2 EF = 13x-5 Find EF.

a)

6.375

b)

17

c)

34

d)

22

125.

Which reason justifies the statement below?

<4 ≃ <2

a)

Defintion of Congruence

b)

Vertical Angles Theorem

c)

Angle Addition Property

d)

Definition of Angle Bisector

e)

Definition of Midpoint

126.

BC bisects ∠DBA, what property proves ∠DBC = ∠CBA

a)

Angle Addition Property

b)

Definition of Angle Bisector

c)

Definition of Congruence

d)

Segment addition property

e)

Definition of Midpoint

127.

Which reason justifies the statement below?

AB + BC = AC

a)

Angle Addition Property

b)

Definition of segment bisector

c)

Segment Addition Property

d)

Definition of a Midpoint

e)

Definition of angle Bisector

128.

What is the justification (reason)?

a)

segment addition property

b)

definition of segment bisect

c)

definition of a midpoint

d)

angle addition property

e)

Definition of angle bisector

129.

Which property proves the statement?

a)

Segment addition property

b)

Definition of an angle bisector

c)

Angle addition property

d)

Definition of right angles

e)

Vertical angle theorem

130.

True or False.

MR = MS

a)

True

b)

False

131.

True or False.

ST = MR

a)

True

b)

False

132.

True or False.

ST = SR

a)

True

b)

False

133.

True or False.

2ST = SR

a)

True

b)

False

134.

True or False.

$ST=\frac{1}{2}SR$

a)

True

b)

False

135.

what angle would be a vertical angle match to $\angle BDH?\ \ \angle$ (a)

136.

what angle would be a linear pair match to $\angle BDH?\ \ \angle$ (a)

137.

What angle is a linear pair with ∠PTQ?

∠ (a)

138.

∠GBC and ∠ (a) form a linear pair

139.

∠HFG and ∠ (a) form a linear pair

140.

what angles would make a Linear Pair

a)

ADG and ADB

b)

ADG and ADH

c)

ADG and BDH

d)

GDB and ADH

141.

Given m∠1 + m∠3 = m∠1 + m∠4, then m∠3 = m∠4

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Angel Addition Property

e)

Subtraction Property

142.

Given XD bisects , ∠CXF, which angles are congruent?

a)

Definition of Angle Bisector

b)

Definition of Midpoint

c)

BXA and DXC

d)

AXE and CXD

e)

CXD and DXF

143.

Which property states m∠BXC + m∠CXD = m∠BXD

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Angel Addition Property

e)

Substitution Property

144.

Given a || b, which angle is supplementary to ∠HKJ

a)

∠LJK

b)

∠JLH

c)

∠LHK

145.

If FD = 20 and FD + HG = FG, then 20 + HG = FG

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Angel Addition Property

e)

Substitution Property

146.

Given X is the midpoint of CE, which property proves EX = XC.

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Angel Addition Property

e)

Subtraction Property

147.

If M, N, and P are collinear and P is between M and N, then MP + PN = MN

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Angel Addition Property

e)

Substitution Property

148.

If BA + CD = CD + DB, then BA = DB

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Subtraction Property

e)

Substitution Property

149.

JK=10 and JK+MN=WX, then 10+MN=WX

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Subtraction Property

e)

Substitution Property

150.

Given a || b, which angle is supplementary to ∠JLH

a)

∠LJK

b)

∠HKJ

c)

∠LHK

151.

Which two angles form a linear pair?

a)

Definition of Angle Bisector

b)

DXF and FXE

c)

CXD and DXE

d)

Angle Addition Property

e)

EXA and BXC

152.

If XW + AB = XW + CD, then AB = CD.

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Subtraction Property

e)

Substitution Property

153.

Select all the angle pairs that are CONGRUENT.

a)

SPQ and QPN

b)

RPN and MPS

c)

MPO and OPN

d)

QPN and OPR

e)

OPR and SPQ

154.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAA

b)

ASA

c)

No

d)

SAS

e)

SSS

155.

Are these triangles congruent, if so pick the correct congruence property?

a)

SAS

b)

No

c)

ASA

d)

AAS

e)

AAA

156.

Are these two triangles congruent? If so, how?

a)

ASA

b)

SSS

c)

AAS

d)

SAS

e)

No

157.

Are these two triangles congruent? If so, how?

a)

SAS

b)

No

c)

AAS

d)

ASA

e)

HL

158.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

159.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

160.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

None

161.

If ∆QRS ≅ ∆LMT, then select all that are true. (pick more than one!)

a)

∠QRS=∠TML

b)

∠SQR=∠TLM

c)

QR=MT

d)

∠RSQ=∠LMT

e)

QS=LT

162.

Select all the TRUE statements.

a)

$m∠BCA=m∠B+m∠A$

b)

$m∠A+m∠B+m∠BCA=180$

c)

$m∠BCA=180-m∠BCD$

d)

$m∠B=m∠BCD$

163.

Find angle 1

(a)

164.

What is the value of y.

(a)

165.

What is the value of z?

(a)

166.

Given: $\Delta ABC\cong\Delta DEF$ Select ALL the true statements.

a)

$\angle C\cong\angle E$

b)

$CA\cong DF$

c)

$\angle E\cong\angle B$

d)

$BC\cong DF$

e)

$\angle A\cong\angle D$

167.

What proves the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

None

168.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

169.

Are the triangles congruent?

due to the parallel lines assume $\angle T\cong\angle V$

are the alternate interior pair

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

170.

Find m∠ABC

(a)

171.

Find m∠XWZ

(a)

172.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

173.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

174.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

175.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

176.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

177.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

178.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

179.

Are the triangles similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

No

180.

Determine whether the triangles are similar.

a)

SSS~

b)

AA~

c)

SAS~

d)

not similar

181.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

182.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

183.

Are the triangles similar?

a)

AA~

b)

Not Similar

c)

SAS~

d)

SSS~

184.

Are these triangles similar? If so, why?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

185.

Are the triangles similar, if so state how.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

186.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

187.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

188.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

189.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

190.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

191.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

192.

Find the distance between (-5, -8) and (-1, -16).

a)

8

b)

80

c)

$\sqrt[]{80}$

d)

234

e)

$\sqrt[]{234}$

193.

Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)

a)

(-3/2, 2)

b)

(11/2, -7)

c)

(-2, 3/2)

d)

(3/2, -2)

194.

Let Let A be between B and C. Use the Segment Addition Postulate to find the length of AC.

BA = 5x-20, BC = 36, and AC = 4x - 25

BA = 5x-20

BA = 5x-20, AC = 4x-25, and BA = 5x-20, AC = 4x-25, and BA = 5x-20

a)

18

b)

25

c)

9

d)

11

195.

What is the best name to describe the following angles?

∠GCB and ∠FED

a)

Adjacent Angles

b)

Supplementary Angles

c)

Linear Pair

d)

Vertical Angles

e)

Complementary Angles

196.

What is the best name to describe the following angles?

∠BGC and ∠CGF

a)

Adjacent Angles

b)

Supplementary Angles

c)

Linear Pair

d)

Vertical Angles

e)

Complementary Angles

197.

What is the best name to describe the following angles?

∠GCF and ∠BCD

a)

Adjacent Angles

b)

Supplementary Angles

c)

Linear Pair

d)

Vertical Angles

e)

Complementary Angles

198.

What is the best name to describe the following angles?

∠GHF and ∠FED

a)

Adjacent Angles

b)

Supplementary Angles

c)

Linear Pair

d)

Vertical Angles

e)

Complementary Angles

199.

What is the best name to describe the following angles?

∠HFG and ∠GFC

a)

Adjacent Angles

b)

Supplementary Angles

c)

Linear Pair

d)

Vertical Angles

e)

Complementary Angles

200.

In the figure below, $\overrightarrow{KN}$ bisects $\angle LKM$ . If $\angle LKM\ is\ 10x+4\ \ \ and\ \angle NKM\ is\ 3x+12$ find $\angle LKM$ .

a)

54

b)

5

c)

27

d)

7

e)

74

201.

Find y.

a)

1

b)

6

c)

15

d)

21

202.

Find x.

a)

8

b)

22

c)

14

d)

40

203.

Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?

(a)

204.

If you were to rotate ABCD 180° about the origin, what would the coordinates of D' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-5, 2)

d)

(2, -5)

205.

Which graph shows the pre-image reflected over the line y = -1?

a)

b)

c)

d)

206.

Sara draws $\Delta RSQ$ as shown. She rotates the triangle about the origin and then reflects the image over the y-axis. Which of the following points is the location of vertex R in the final image of the triangle?

a)

(-3, -3)

b)

(-3, 3)

c)

(3, 3)

d)

(3, -3)

207.

If AB + CD = AB + DM then CD = DM

a)

Subtraction

b)

Addition

c)

Segment Addition

d)

Substitution

208.

If FD = EF and FD + HG = FG, then EF + HG = FG

a)

Definition of Segment Bisector

b)

Segment Addition Property

c)

Definition of Midpoint

d)

Angel Addition Property

e)

Substitution Property

209.

Check all the statements that are true.

a)

SM = MR

b)

SR = ST

c)

2ST = SR

d)

$\frac{1}{2}ST=SR$

e)

MR = ST

210.

Select all the angle pairs that are CONGRUENT.

a)

SPQ and SPM

b)

SPQ and OPR

c)

MPO and MPQ

d)

SPO and RPQ

e)

SPQ and QPR

211.

In the diagram m∠ 9 = 80 and m∠ 6 = 112 and w||v.

Find m∠ 3.

a)

68

b)

80

c)

100

d)

112

212.

In the diagram m∠ 9 = 80 and m∠ 6 = 112 and w||v.

Find m∠ 13.

a)

68

b)

80

c)

100

d)

112

213.

Given a || b, which angle is supplementary to ∠JLH

a)

∠LJK

b)

∠HKJ

c)

∠LHK

214.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

215.

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

a)

Parallel

b)

Perpendicular

c)

Neither

216.

Are the lines parallel, perpendicular, or neither?

$y=x+5$

$y=-x-1$

a)

Parallel

b)

Perpendicular

c)

Neither

217.

x= 7

y = -4

These lines are:

a)

parallel

b)

perpendicular

c)

neither

218.

Find angle 3

a)

76

b)

72

c)

14

d)

40

219.

Find angle 1

a)

32

b)

72

c)

14

d)

50

220.

Find angle 2

a)

58

b)

72

c)

90

d)

60

221.

Select all the TRUE statements.

a)

$m∠BCA=m∠B+m∠A$

b)

$m∠A+m∠B+m∠BCA=180$

c)

$m∠BCA=180-m∠BCD$

d)

$m∠B=m∠BCD$

e)

m∠BCD=m∠B+m∠A

222.

If ∆QRS ≅ ∆LMT, then select all that are true. (pick more than one!)

a)

∠QRS=∠TML

b)

∠SQR=∠TLM

c)

QR=MT

d)

∠RSQ=∠LMT

e)

QS=LT

223.

What proves the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

None

224.

What proves the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

None

225.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

None

226.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

227.

Are these triangles congruent, if so pick the correct congruence property?

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

228.

Are these two triangles congruent? If so, how?

a)

SAS

b)

No

c)

AAS

d)

ASA

e)

HL

229.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

230.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

231.

What is the reason we would write in #9?

a)

Definition of Segment Bisector

b)

Vertical Angles

c)

Alternate Interior Angles

d)

Definition of Midpoint

e)

Reflexive Property

232.

What is the reason we would write in #10?

a)

Definition of Segment Bisector

b)

Vertical Angles

c)

Alternate Interior Angles

d)

Definition of Midpoint

e)

Reflexive Property

233.

What is the reason we would write in #11?

a)

Definition of Segment Bisector

b)

Vertical Angles

c)

Alternate Interior Angles

d)

Definition of Midpoint

e)

Reflexive Property

234.

What is the reason we would write in #12?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

235.

What is the value of y.

(a)

236.

Find m∠QPN

a)

56

b)

73

c)

112

d)

129

e)

146

237.

Find m∠J.

a)

31

b)

62

c)

118

d)

180

238.

Find m∠FEH.

a)

31

b)

62

c)

89

d)

60

239.

Dilate Point A by a scale factor of $\frac{1}{2}$

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1)

d)

(-2,-2)

240.

What is the scale factor for the given dilation?

a)

2

b)

3

c)

1/3

d)

1/2

241.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

242.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

243.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

244.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

245.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

246.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

247.

TS is a midsegment of $\Delta GHI$ . Find the length of TS.

a)

4

b)

18

c)

8

d)

9

248.

Which proportion is true if HJ is parallel to KL?

a)

$\frac{KL}{HJ}=\frac{KG}{LJ}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

249.

Dilate Point A by a scale factor of $\frac{1}{2}$

Dont use any spaces when typing your answer:

EX: (6,-7)

(a)

250.

Dilate Point N by a scale factor of $\frac{1}{2}$

Dont use any spaces when typing your answer:

EX: (6,-7)

(a)

251.

What is the scale factor for the given dilation?

(a)

252.

Find the measure of $m\angle F$

(a)

253.

Find x.

(a)

254.

Find x.

(a)

255.

A man wants to measure the height of a nearby building. He places a 6ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 176ft, and the pole casts a shadow that is 4.75ft

long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

(a)

256.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

257.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

258.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

259.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

260.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

261.

Determine which similarity property proves the triangles similar, or if we can't prove similar, then mark none.

a)

AA~

b)

SSS~

c)

SAS~

d)

None

262.

TS is a midsegment of $\Delta GHI$ . Find the length of TS.

a)

4

b)

18

c)

8

d)

9

263.

Enlargement or reduction? Find the scale factor!

a)

It's an enlargement; the scale factor is 1/2.

b)

It's an enlargement; the scale factor is 2.

c)

It's a reduction; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 2.

264.

Triangle ABC is dilated using a scale factor of 1/2. What are the new coordinates of point B'?

(a)

265.

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 .

(a)

266.

QR is a midsegment of triangle BCD, find the length of BD

a)

11

b)

18

c)

9

d)

-7

Semester 1 Geometry Questions

Total questions: 266

Worksheet time: 10hrs 4mins

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