Free Printable Geometry A Semester Test Practice

1.

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

a)

8

b)

80

c)

$\sqrt[]{80}$

d)

234

e)

$\sqrt[]{234}$

2.

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)

3.

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

4.

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

5.

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

6.

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

7.

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

8.

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

9.

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

10.

Find y.

a)

1

b)

6

c)

15

d)

21

11.

Find x.

a)

8

b)

22

c)

14

d)

40

12.

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)

13.

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)

14.

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

a)

b)

c)

d)

15.

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)

16.

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

a)

Subtraction Property

b)

Addition Property

c)

Segment Addition Property

d)

Substitution Property

17.

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

a)

Segment Addition Property

b)

Definition of Midpoint

c)

Subtraction Property

d)

Substitution Property

18.

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

19.

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

20.

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

Find m∠ 3.

a)

68

b)

80

c)

100

d)

112

21.

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

Find m∠ 13.

a)

68

b)

80

c)

100

d)

112

22.

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

a)

∠LJK

b)

∠HKJ

c)

∠LHK

23.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

24.

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

a)

Parallel

b)

Perpendicular

c)

Neither

25.

Are the lines parallel, perpendicular, or neither?

$y=x+5$

$y=-x-1$

a)

Parallel

b)

Perpendicular

c)

Neither

26.

x= 7

y = -4

These lines are:

a)

parallel

b)

perpendicular

c)

neither

27.

Find angle 3

a)

76

b)

72

c)

14

d)

40

28.

Find angle 1

a)

32

b)

72

c)

14

d)

50

29.

Find angle 2

a)

58

b)

72

c)

90

d)

60

30.

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

31.

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

32.

What proves the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

None

33.

What proves the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

e)

None

34.

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

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

None

35.

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

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

36.

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

a)

AAS

b)

SAS

c)

ASA

d)

HL

e)

No

37.

Are these two triangles congruent? If so, how?

a)

SAS

b)

No

c)

AAS

d)

ASA

e)

HL

38.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

39.

Are the triangles congruent by:

a)

None

b)

ASA

c)

AAS

d)

SSS

e)

HL

40.

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

41.

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

42.

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

43.

What is the reason we would write in #12?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

44.

What is the value of y.

(a)

45.

Find m∠QPN

a)

56

b)

73

c)

112

d)

129

e)

146

46.

Find m∠FJE.

a)

31

b)

62

c)

118

d)

180

47.

Find m∠FEH.

a)

31

b)

62

c)

89

d)

60

48.

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)

49.

What is the scale factor for the given dilation?

a)

2

b)

3

c)

1/3

d)

1/2

50.

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

51.

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

52.

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

53.

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

54.

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

55.

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

56.

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

a)

4

b)

18

c)

8

d)

9

57.

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)

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

Geometry A Semester Test Practice

Total questions: 57

Worksheet time: 1hrs 25mins

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