Free Printable 2023 Geometry Final Review

1.

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

90 degree rotation

2.

a)

(-1,3)

b)

(5,3)

c)

(5,8)

3.

a)

90 degrees clockwise rotation

b)

180 degrees rotation

c)

270 degrees clockwise rotation

4.

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

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

5.

Reflections over the x-axis change the __________.

a)

y-coordinate

b)

x-coordinate

6.

Which transformation is NOT a rigid motion (the size changes)?

a)

reflection

b)

rotation

c)

dilation

d)

translation

7.

Does this transformation represent a rigid motion?

a)

Yes, it's a relfection

b)

Yes, it's a translation

c)

No, it's a reflection

d)

No, it's a rotation

8.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

9.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

10.

$If\ M\ is\ the\ midpoint\ of\ \overline{AB\ }$ and $\overline{AM\ }$ $=2x\ +\ 4$ and $\overline{AB}$ $=12.\$ Find x.

a)

x = 1

b)

x = 4

c)

x = 12

d)

x = 8

11.

What is a "Straight" Angle?

a)

Angle that measures 180

b)

An Angle that measures 90

c)

An angle that measures more than 90

d)

An angle that measures less than 90

12.

Congruent means:

a)

angles that are opposite from each other

b)

angles that are less than 90^o

c)

angles that add up to 180^o

d)

angles that have the same measurement

13.

Find x if $m\angle2=-4+7x$ and $m\angle HFG=11x+10$

a)

76

b)

50

c)

-3.5

d)

6

14.

Find the value of x if AB = 4x + 3 and BC = 21

a)

10.5

b)

4.5

c)

6

d)

21

15.

What is the value of "a"?

a)

75°

b)

65°

c)

55°

d)

85°

16.

$\angle3$ and $\angle7$ are ______________.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

17.

∠E and ∠F are _____________ angles

a)

Supplementary

b)

Complementary

c)

Vertical

18.

∠A and ∠D are in what relationship?

a)

Supplementary

b)

Vertical

c)

Alternate Interior

d)

Alternate exterior

19.

$\angle3\$ and $\angle2$ are __________________.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

20.

$\angle7\$ and $\angle5$ are ___________________.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

21.

Given: $\angle13\cong\angle3\cong\angle8\cong\angle10$

Which lines are parallel?

a)

$r\parallel s$

b)

$t\parallel u$

c)

$r\parallel s\ and\ t\parallel u$

d)

no parallel lines

22.

What is the value of x?

a)

60

b)

26

c)

14

d)

10

23.

In the given proof, what are the reasons for step 1 and 2?

a)

Angles that form a linear pair are supplementary.

b)

Substitution

c)

Reflexive Property of Congruence

d)

Angles of equal measure are congruent.

24.

In the given proof, what is the statement for step 2?

a)

Angles that form a linear pair are supplementary. $m∠1+m∠3=180°$

b)

$m∠3+m∠5=180°$

c)

$m∠1=m∠3$

d)

$\angle3\cong\angle5$

25.

In the given proof, what is the statement for step 2?

a)

$AD≅DB$

b)

$CD≅CD$

c)

$m\angle ADC+m\angle BDC=180\degree$

d)

$\angle ADC\cong\angle BDC$

26.

In the given proof, what are the reasons for steps 1 and 3?

a)

Alternate Exterior Angle are Congruent

b)

Reflexive Property of Congruence

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

27.

By what reasoning are the two triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

The triangles are not congruent.

28.

Why are these 2 triangles congruent according to your proof?

a)

ASA

b)

SAS

c)

SSS

d)

Cannot be determined

29.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

30.

In the given proof, what is the reason for final step?

a)

Reflexive Property of Congruence

b)

Corresponding Parts of Congruent Triangles are Congruent

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

31.

In the given proof, what is the statement for step 4?

a)

$\angle2\cong\angle3$

b)

$m\angle1+m\angle4\ =180\degree$

c)

$\angle1\cong\angle4$

d)

$\Delta ABC\cong\Delta ACD$ .

32.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

33.

Given: OR $\perp$ QP. What should you conclude by definition of perpendicular?

a)

<ORP is a right angle

b)

QR + RP = QP

c)

<ORQ and <ORP are complementary

d)

<QRP = 180 $\degree$

34.

Given: <1 and <2 are supplementary. What can you conclude?

a)

m<1 + m<2 = 180

b)

m<1 + m<2 = 90

c)

m<1 = m<2

d)

nothing

35.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

36.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

37.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Distributive Property

d)

Transitive Property of Congruence

38.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

39.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

40.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

41.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

42.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

43.

What does this represent?

a)

intersects

b)

perpendicular

c)

parallel

d)

left turn

44.

What does this represent?

a)

line segment AB

b)

line AB

c)

ray AB

d)

distance AB

45.

What does this represent?

a)

parallel

b)

perpendicular

c)

celery sticks

d)

straight

46.

What unit does this represent?

a)

degrees

b)

inches

c)

radians

d)

feet

47.

What does this represent?

a)

right angle

b)

obtuse angle

c)

acute angle

d)

a crossbow

48.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

49.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

50.

What is the measure of angle A in the triangle?

a)

116*

b)

25*

c)

62*

d)

54*

51.

What is the measure of <ACD?

a)

51º

b)

141º

c)

101º

d)

39º

52.

Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PQ.

a)

12

b)

10

c)

2

d)

30

53.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

54.

Find the triangle similar to △ABC

a)

b)

c)

d)

55.

The diagram below shows a rectangle that is 9 m by 15 m in measure. Which is the measure of a rectangle that is similar to the rectangle above?

a)

14 m x 20 m

b)

45 m x 75 m

c)

18 m x 31 m

d)

6 m x 12 m

56.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

57.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

58.

The ratio 5:15 simplifies to...

a)

1:3

b)

3:1

c)

1:5

d)

3:5

59.

Which is NOT equivalent to 3:5?

a)

15:25

b)

9:15

c)

21:28

d)

30:50

60.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

61.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

62.

Find the missing length.

a)

9

b)

10

c)

8

d)

None of these

63.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

64.

Inside any triangle the sum of all the angles in degrees is always:

a)

360

b)

90

c)

150

d)

|80

65.

How many degrees is X?

a)

65

b)

70

c)

90

d)

55

66.

How many degrees is X?

a)

37

b)

47

c)

7

d)

90

67.

How much is the value of X?

a)

45

b)

60

c)

90

d)

15

68.

How many triangles in the figure are acute?

a)

1

b)

2

c)

3

d)

4

69.

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____

a)

$L$

b)

$\angle L$

c)

$\angle T$

d)

T

70.

Equilateral triangles have how many congruent sides and angles?

a)

2

b)

3

c)

4

71.

If you want to draw a triangle you can use the following angle measures:

a)

50, 50 and 50

b)

60, 60, and 60

c)

90, 50 and 50

d)

45, 45 and 45

72.

Find the length of TU

a)

10

b)

52

c)

12

d)

22

73.

Which angle pairs are always congruent?

a)

supplementary angles

b)

complementary angles

c)

vertical angles

d)

linear angles

74.

What is a ray?

a)

Part of a line with 2 endpoints

b)

Part of a line with 1 end point and goes on forever

c)

Part of a line with 0 endpoints

d)

Part of a line with 5 endpoints

75.

Two rays that have a common endpoint.

a)

Ray

b)

Angle

c)

Line

d)

Point

76.

An exact location in space with no length or width.

a)

Ray

b)

Point

c)

Line

d)

Line segment

77.

It is a location and has no size, represented by a dot.

a)

ray

b)

endpoint

c)

point

d)

line

78.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

79.

Solve:

a)

-4

b)

10

c)

3

d)

-4

80.

Find side length X.

a)

30

b)

25

c)

15

d)

40

2023 Geometry Final Review

Total questions: 80

Worksheet time: 2hrs 22mins

Similar Resources on Wayground