Free Printable Geometry First Semester Exam Review

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Worksheets

Geometry First Semester Exam Review

Total questions: 84

Worksheet time: 3hrs 38mins

Name

Class

Date

1.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

2.

Name a pair of vertical angles in the diagram

a)

<AEB and <BEC

b)

<DEA and <BEA

c)

<BEC and <CED

d)

<DEC and <AEB

3.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angles

4.

What is the value of y?

a)

29

b)

119

c)

58

5.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

6.

How are these two triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

7.

Which is an example of transitive property?

a)

If a=b and b=m, then a = m.

b)

If a=b then b=a.

c)

Given a number a, a=a

d)

If a=5, then 3a-5 = 3(5)-5

8.

Name the property described:
∠B≅∠B

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

9.

Name the property described:
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

10.

How is line KJ related to line EF

a)

Parallel

b)

Skew

c)

Perpendicular

d)

They are not related

11.

Solve for x?

a)

8

b)

2

c)

4

d)

6

12.

M is the midpoint of segment JL. J has coordinates (2, -1) and M has coordinates (-4, 3). What are the coordinates of L?

a)

(3, -2)

b)

(1, -1)

c)

(-1, 1)

d)

(-10, 7)

13.

T is the midpoint of segment RC. RT = 12x - 8, and TC = 28. What is the value of x?

a)

-4

b)

2

c)

3

d)

28

14.

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.

15.

What is the "reason" for step 5 of the proof?

a)

Vertical Angle Theorem

b)

proof

c)

def. of angle bisector

d)

CPCTC Theorem

16.

Find m∠SVW

a)

84°

b)

116°

c)

74°

d)

104°

17.

In this figure, angle 1 = 135 degrees
Which of these statements is enough to prove that lines m and n are parallel?

a)

angle 2 = 45 degrees

b)

angle 3 = 135 degrees

c)

angle 8 = 135 degrees

d)

angle 5 = 135 degrees

18.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

19.

What is the measure of ∠6?

a)

55

b)

155

c)

45

d)

135

20.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

21.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

22.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=-2/3x-3

23.

What is the "reason" for step 4 of the proof?

a)

SAS
≅ theorem

b)

ASA
≅ theorem

c)

SSA
≅ theorem

d)

CPTCT
theorem

24.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

25.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

26.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

27.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

28.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

29.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

30.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by SSS

c)

Yes by SSA

d)

Not congruent

31.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

Not enough information

32.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

33.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

34.

Find the missing angle.

a)

151

b)

147

c)

118

d)

62

35.

What do you call two angles whose sum is 180 degrees.

a)

vertical angles

b)

complementary angles

c)

supplementary angles

d)

corresponding angles

36.

How is line EA related to line EF

a)

Parallel

b)

Skew

c)

Perpendicular

d)

They are not related

37.

If ABCD is a rhombus, find angle DAE.

a)

42

b)

90

c)

48

d)

32

38.

What is the degree of rotational symmetry of the figure?

a)

$30\degree$

b)

$60\degree$

c)

$72\degree$

d)

$120\degree$

39.

X is the midpoint of YZ and W is the midpoint of XZ. XW=2x+2 and XZ=8x-16. Find the length of YZ.

a)

48

b)

5

c)

24

d)

12

40.

Find a counterexample for the following statement: If two lines never intersect, then they are parallel.

a)

The lines are skew.

b)

The lines are perpendicular.

c)

The lines are intersecting.

d)

Cannot be determined.

41.

Which of the following angle types cannot be used to prove two lines are parallel?

a)

corresponding

b)

alternate interior

c)

vertical angles

d)

same side interior

42.

Line r is parallel to Line s. If $\angle ABC=3x-2$ and $\angle FED=40\degree$ find x.

a)

8.67

b)

40

c)

12.67

d)

14

43.

The following angle pairs are an example of...

a)

vertical angles

b)

complementary angles

c)

same side interior angles

d)

linear pair

44.

Point K is 2/3 the distance from point S to point Y. S is located at 6 and Y is located at 15. What is the coordinate of point K?

a)

12

b)

9

c)

4

d)

6

45.

The point (3,1) is translated $\left(x,y\right)\rightarrow\left(x+2,\ y-3\right)$ and then reflected across the line $x=4$ .

use graph paper to solve

a)

(3,-2)

b)

(5,-2)

c)

(-3, 2)

d)

(-5, 2)

46.

Find the missing endpoint of AB when A is (-4,3) and the midpoint M is (1,-2).

a)

(6, -7)

b)

(6, 3)

c)

(-4, -7)

d)

(-4, 3)

47.

Which statemnet is true?

a)

$\angle SQR$ is a right angle.

b)

$\angle PQS\cong\angle SQR$

c)

$\angle PQS+\angle SQR=\angle PQR$

d)

$\angle PQS$ is a right angle.

48.

Describe the compostions of transformations.

a)

First the triangle was rotated 180° about the origin, then reflected over the x-axis.

b)

First the triangle was reflected over the y-axis, then rotated 90° about the origin.

c)

First the triangle was translated (x-5,y), then reflected over the x-axis.

d)

First the triangle was reflected over the y-axis, then reflected over the x-axis.

49.

Which statement has a true converse?

a)

If a quadrilateral is a parallelogram, then it is a square.

b)

If a polygon is a rectangle, then it is a parallelogram.

50.

Let G be in the interior of $\angle DEF$ . Given $\angle DEG=12x+1$ , $\angle GEF=5x-3$ , and $\angle DEF=117\degree$ find the measure $\angle GEF$ .

a)

7

b)

32

c)

117

d)

61

51.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

52.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

53.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

54.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

d)

Dilation

55.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

360⁰

c)

90⁰ counterclockwise

d)

180⁰

56.

For points A (3, -2) and B (1, 6) find:

The distance from A to B.

You do not need to simplify.

a)

Square root of 12

b)

Square root of 20

c)

Square root of 60

d)

Square root of 68

57.

For points A (3, -2) and B (1, 6) find:

The midpoint of [AB].

a)

(2, 2)

b)

(4, 4)

c)

(1, -4)

d)

(4, 2)

58.

Given: m<1 = 4x, m<2 = 3x + 10, and m<3 = 2x + 17. What is the measure of angle 2?

a)

61

b)

47

c)

31

d)

17

59.

In the drawing, what is the measure of angle y?

a)

40

b)

60

c)

80

d)

100

60.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

61.

Which parts must be congruent to prove triangle PQR congruent to triangle PSR by SAS?

a)

<Q = <S and QP = SP

b)

<Q = <S and QR = SR

c)

<QRP = < SRP and QP = SP

d)

<QPR = <SPR and QP = SP

62.

QP≅ST

a)

TRUE

b)

FALSE

63.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

64.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

65.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

66.

Find the length of RT

a)

14

b)

-1

c)

1

d)

8

67.

Find the measure of the exterior angle:

a)

10 degrees

b)

60 degrees

c)

20 degrees

d)

40 degrees

68.

Determine if the two triangles are congruent. If they are congruent, choose the best method for proving congruence.

a)

SAS

b)

SSS

c)

ASA

d)

AAS

69.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

70.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

71.

If AC = 6 and AB = 21, find the value of CB.

a)

17

b)

15

c)

14

d)

6

72.

What is this?

a)

Conditional Statement

b)

Inverse

c)

Converse

d)

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

73.

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

a)

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

b)

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

c)

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

d)

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

74.

For the converse we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

75.

For the inverse we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

76.

p→q
What is the converse?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

77.

What is the hypothesis of the given Conditional Statement?

a)

Jimmy will go to Orlando

b)

Jimmy goes on vacation

c)

Jimmy will go to Orlando

d)

Who is Jimmy?

78.

What is the conclusion to this?

a)

Clarkson will be the coolest

b)

Clarkson will not be the coolest

c)

Clarkson gives us Mountain Dew

d)

Clarkson will not give us Mountain Dew

79.

What is the converse to this statement?

a)

If it isn't dark outside, then it is not night.

b)

If it is night, then it is dark outside

c)

If it is not night, then it is not dark outside.

d)

It is night.

80.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

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

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

81.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

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

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

82.

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

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

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

83.

Given, "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.

84.

Is the converse True or False?

a)

False

b)

True

Reset

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