Free Printable Unit 8AB Review

1.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

2.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

3.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

4.

Which of the following is an example of corresponding angles?

a)

$\angle8\ and\ \angle4$

b)

$\angle5\ and\ \angle7$

c)

$\angle1\ and\ \angle7$

d)

$\angle3\ and\ \angle5$

5.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

6.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

7.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

8.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

9.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

10.

Identify the relationship:

a)

vertical

b)

supplementary

11.

Identify the relationship:

a)

vertical

b)

supplementary

12.

Identify the relationship:

a)

vertical

b)

supplementary (angles add up to 180^o)

c)

complementary (angles add up to 90^o)

13.

Which Reason best fits the statement?

a)

Vertical Angle Theorem

b)

Definition of Linear Pair

c)

Addition Property

d)

Transitive Property

14.

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

15.

Choose the best Reason to fill in the blank in the two-column proof:

a)

Substitution Property

b)

Symmetric Property

c)

Transitive Property

d)

Reflexive Property

16.

Which of the following Reasons are in the correct order?

a)

Given; Definition of congruence; Transitive Property; Definition of midpoint

b)

Given; Definition of midpoint; Transitive Property; Definition of congruence

c)

Given; Transitive Property; Definition of midpoint; Definition of congruence

17.

Which angle is complementary to $\angle LJM$

a)

$\angle MJN$

b)

$\angle NJP$

c)

$\angle FGE$

d)

$\angle LJK$

18.

Which angles are non-adjacent with $\angle8$ ?
(mark all that apply)

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle1$

19.

Which angle is a linear pair with $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle6$

20.

What is the justification?

a)

Symmetric Prop.

b)

Angle addition postulate

c)

Reflexive Prop

d)

Transitive Prop.

21.

Which is the correct reason for statement 2 in the proof?

a)

Given

b)

Transitive Property

c)

Definition of Congruent Angles

d)

Vertical Angles are congruent.

22.

a)

addition POE

b)

angle addition POE

c)

subtraction POE

d)

substitution POE

23.

What is the missing statement in the proof?

a)

2m∠ABD=m∠ABD+m∠ABD

b)

m∠ABD=m∠DBC

c)

m∠ABC=m∠ABC

d)

m∠ABD+m∠ABD=m∠ABD+m∠DBC

24.

Which symbol means "perpendicular"?

a)

∏

b)

∥

c)

∠

d)

⊥

25.

a)

Corresponding

b)

Alt Ext Angle

c)

vertical

d)

Alt Int Angle

26.

a)

A

b)

B

c)

C

d)

D

27.

Name the corresponding angle or side.

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.

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

a)

A

b)

B

c)

C

d)

D

30.

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

a)

A

b)

B

c)

C

d)

D

31.

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

a)

A

b)

B

c)

C

d)

D

32.

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

a)

A

b)

B

c)

C

d)

D

33.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

34.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

35.

True or False?
A rigid motion preserves angles measures but not side lengths of a figure.

a)

True

b)

False

36.

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

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

37.

What are the 2 missing pieces of information?

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

38.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

39.

What is the "statement" for step 3 of the proof?

a)

HT=TA

b)

HA=AH

c)

MA=AM

d)

MA=MH

40.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

41.

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

a)

two angles are congruent

b)

the third side is congruent

c)

three angles are congruent

d)

no other relationships exist

42.

When we are given two angles of a triangle are congruent, we can prove ____________________.

a)

three sides are congruent

b)

two sides are congruent

c)

three angles are congruent

d)

no other relationships exist

43.

Fill in statement #3.

a)

$\overline{AC}\ \cong\ \overline{AC}$

b)

$\overline{AC}\ \cong\ \overline{CA}$

c)

$\angle BAC\cong\angle DAC$

d)

$\angle B\cong\angle D$

44.

The measure of the vertex angle of an isosceles triangle is 113°. What is the measure of a base

angle?

a)

113°

b)

33.5°

c)

67°

d)

56.6°

45.

The measure of a base angle of an isosceles triangle is 45°. What is the measure of the vertex

angle?

a)

135°

b)

64.5°

c)

90°

d)

45°

46.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

47.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

48.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

49.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

50.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

51.

Solve for X

a)

22

b)

16

c)

40

d)

35

52.

Which is NOT a property of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Both pairs of opposite sides are parallel

d)

Both pairs of opposite angles are congruent

53.

The diagonals of a parallelogram always ...

a)

are congruent

b)

are perpendicular

c)

bisect each other

d)

are parallel

54.

In a parallelogram, opposite angles are ________.

a)

congruent

b)

supplementary

c)

consecutive

d)

parallel

55.

a)

x = 70, y = 80

b)

x = 70, y = 30

c)

x = 80, y = 70

d)

x = 80, y = 30

56.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

57.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

Opposite sides parallel and equal

d)

Not enough info

58.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides equal

b)

Opposite sides parallel

c)

Diagonals bisect each other

d)

Not enough info

59.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides equal

b)

Opposite sides parallel

c)

Diagonals bisect each other

d)

Not enough info

60.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite angles equal

c)

Opposite sides equal and parallel

d)

Not enough info

61.

Is this quadrilateral a parallelogram? If so, give a reason.

a)

No

b)

Yes. Opposite sides are parallel

c)

Yes. Opposite sides are congruent

d)

Yes. Opposite angles are congruent

62.

A quadrilateral with all congruent angles would best be described as a ________.

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

63.

Diagonals are congruent in all ________.

a)

quadrilaterals

b)

rectangles

c)

rhombuses

d)

parallelograms

64.

A quadrilateral with all congruent sides would best be described as a ________.

a)

square

b)

rectangle

c)

rhombus

d)

parallelogram

Unit 8AB Review

Total questions: 64

Worksheet time: 3hrs 6mins

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