Free Printable Geometry H Review 5.5-5.6

1.

Classify the triangle by its sides

a)

equilateral

b)

isosceles

c)

scalene

2.

A triangle has angle measures of
m<A = 2x +10
m<B = 5x - 3
m<C = 3x - 7
Find x.

a)

85

b)

36.6

c)

62.3

d)

18

3.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

4.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

5.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

6.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

7.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

8.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

9.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

10.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

11.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

12.

The first step of a proof is always______

a)

The given statements

b)

The summary statements

c)

The introductory statements

d)

The concluding statements

13.

The last statement in the proof is always______

a)

What you need to prove, it doesn't have to be written exactly how it is in the description though. If it is close that is good enough.

b)

Depends on the proof.

c)

What you need to prove in general terms.

d)

What you need to prove, written exactly how it is in the description.

14.

If you have an image that looks like there is not enough information to prove congruence, look for vertical angles!

Which images show vertical angles?

a)

b)

c)

d)

15.

If you have parallel line markings, look for congruent angles. The following pairs of angles are ALWAYS congruent if you have parallel lines. (Choose all that apply)

a)

Corresponding Angles

b)

Linear Pair of Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Alternate Interior Angles

16.

Which triangle congruence theorem can be used to prove the triangles are congruent?

(a)

17.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSA

b)

AAS

c)

SAS

d)

HL

18.

Which triangle congruence theorem/postulate can be used to prove the triangles are congruent?

(a)

19.

∆ABC≅∆XYZ

which is true?

a)

$\angle C\cong\angle A$

b)

$\angle C\cong\angle Z$

c)

$\angle B\cong\angle Z$

d)

$\angle A\cong\angle Y$

20.

The triangles are congruent by SSS postulate. Finish the congruence statement:

\Delta DOG\cong\Delta_{ }

(a)

21.

a)

HL

b)

SAS

c)

not congruent

d)

AAS

22.

a)

HL

b)

SAS

c)

not congruent

d)

AAS

23.

a)

HL

b)

SAS

c)

not congruent

d)

AAS

24.

a)

HL

b)

SAS

c)

not congruent

d)

AAS

25.

The side of a triangle opposite the right angles

a)

hypotenuse

b)

opposite

c)

adjacent

d)

obtuse

26.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

AAS: Angle Angle Side

c)

AAA: Angle Angle Angle

d)

SAS: Side Angle Side

e)

Not enough information

27.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

SAS: Side Angle Side

c)

SSA: Side Side Angle

d)

SSS: Side Side Side

e)

Not enough information

28.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

SAS: Side Angle Side

c)

SSA: Side Side Angle

d)

SSS: Side Side Side

e)

HL: Hypotenuse Leg

29.

Which postulate or theorem proves the triangle congruent?

a)

ASA: Angle Side Angle

b)

Not enough information

c)

AAA: Angle Angle Angle

d)

SSS: Side Side Side

e)

HL: Hypotenuse Leg

30.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

31.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

32.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

33.

Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

a)

b)

c)

d)

34.

What is the theorem that justifies the congruence of the two triangles?

a)

HL

b)

HA

c)

LA

d)

LL

35.

What is the theorem that justifies the congruence of the two right triangles?

a)

HL

b)

HA

c)

LA

d)

LL

36.

What is the theorem that justifies the congruence of the two right triangles?

a)

HL

b)

HA

c)

LA

d)

LL

37.

What is the theorem that justifies the congruence of the two right triangles?

a)

HL

b)

HA

c)

LA

d)

LL

38.

What is the

m\angle U

?

(a)

39.

Find the value of x

(a)

40.

Find the value of x.

(a)

41.

Find the value of x

(a)

42.

What is the value of y?

a)

7

b)

4

c)

6

d)

14

43.

Find m<A.

a)

12

b)

24

c)

132

d)

36

44.

Find m<B.

a)

36

b)

24

c)

12

d)

132

45.

a)

A

b)

B

c)

C

d)

D

46.

Find x

a)

3

b)

4

c)

2

d)

10

47.

Use the picture to answer the question.

a)

76

b)

28

c)

152

d)

56

48.

Find the value of x in the figure.

a)

21

b)

43.5

c)

45

d)

24

49.

Find the value of x in the figure.

a)

12

b)

2

c)

14

d)

36

50.

Find the value of x.

a)

63

b)

55

c)

66

d)

37

Geometry H Review 5.5-5.6

Total questions: 50

Worksheet time: 1hrs 12mins

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