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Worksheets

Review Challenge

Total questions: 28

Worksheet time: 2hrs 28mins

Name
Class
Date
1.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

2.

Solve for x.

a)

16

b)

11

c)

50

d)

6

3.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

4.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 + 5x + 16 = 10x + 8

c)

52 + 10x + 8 = 5x +16

5.

Sove for y.

a)

y = 10

b)

y = 110

c)

y = 11

6.

Name this triangle based on its sides.

a)

equilateral

b)

isosceles

c)

scalene

d)

acute

7.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
8.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Scalene Triangle
c)
Isosceles Triangle
d)
Right Triangle
9.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
10.

What is the value of x? (Hint: the two angles that connect are called vertical angles... they are always congruent.)

a)

64

b)

46

c)

127

d)

38

11.

If ΔART ΔHIM\Delta ART\ \cong\Delta HIM  then which of the following are true? (SELECT ALL THAT APPLY)

a)

AH\angle A\cong\angle H  

b)

RT  MI\overline{RT}\ \cong\ \overline{MI}  

c)

ARHI\overline{AR}\cong\overline{HI}  

d)

ATMI\overline{AT}\cong\overline{MI}  

e)

TI\angle T\cong\angle I  

12.

Complete the congruency statement: ΔCQPΔ\Delta CQP\cong\Delta---  

a)

ABC

b)

CBA

c)

CAB

d)

BAC

13.

Complete the congruency statement: ΔACBΔ\Delta ACB\cong\Delta---  

a)

ACD

b)

CAD

c)

DAC

d)

DCA

14.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
15.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
16.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector
17.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
18.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

19.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

20.
What is statement #1?
a)
AB≅DC
b)
AC≅AC
c)
AB∥DC
d)
∠A≅∠C
21.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

22.

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

no, not enough information

23.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

24.
State if the triangles are congruent and why.
a)
AAS
b)
ASA
c)
Not congruent
d)
SSS
25.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

a)

yes by HL

b)

yes, by SAS

c)

No, not congruent there is no AAA theorem

d)

yes, by AAS

26.

What additional information is needed to prove the triangles congruent by SSS?

a)

A

b)

B

c)

C

d)

D

27.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
28.

Which congruency statement can be written for the triangles pictured?

a)

ΔACBΔABD\Delta ACB\cong\Delta ABD

b)

ΔBACΔBAD\Delta BAC\cong\Delta BAD

c)

ΔCABΔDBA\Delta CAB\cong\Delta DBA

d)

ΔADBΔBCA\Delta ADB\cong\Delta BCA