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CONGURANCE OF TRIANGLE

Total questions: 110

Worksheet time: 4hrs 52mins

Name
Class
Date
1.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
2.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
3.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
4.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
5.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
6.

Congruent figures...

a)

Have the same dimensions (side lengths and angle measures)

b)

Are the same shape and size

c)

Can be mapped onto one another using rigid motions

d)

All of the above

7.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
8.
Which is NOT a true statement?
a)
FG ≅ GH 
b)
AB ≅ DC 
c)
BA ≅ GH 
d)
XY ≅ WZ
9.
a)
A
b)
B
c)
C
d)
D
10.
a)
3 inches
b)
5 inches
c)
90 inches
d)
4 inches
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
4m
b)
5m
c)
3m
d)
4.5m
13.
a)
A
b)
B
c)
C
d)
D
14.
Figures that have the same _____ and size are congruent triangles. 
a)
corresponding
b)
corners
c)
angles
d)
shape
15.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
16.
Choose the correct item to make the congruence statement true.
a)
A
b)
B
c)
C
d)
D
17.
Congruent plane figures are figures that have exactly the same size and shape.
a)
true
b)
false
18.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
19.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
20.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
21.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
22.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
23.
How are the triangles congruent?
a)
Not congruent
b)
SSS
c)
ASA
d)
SAS
24.

Congruent figures...

a)

Have the same dimensions (side lengths and angle measures)

b)

Are the same shape and size

c)

Can be mapped onto one another using rigid motions

d)

All of the above

25.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, not enough information provided

26.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
27.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
28.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
29.
a)
A
b)
B
c)
C
d)
D
30.
∠E ≅ ∠ __
a)
A
b)
B
c)
C
d)
D
31.
Which segment is congruent to EF? 
a)
HG
b)
HF
c)
GF
d)
IE
32.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
33.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

34.
If  Δ ABC ≅ Δ DEF , which angle is congruent to angle D?
a)
∠C
b)
∠A
c)
∠E
35.
If  Δ ABC ≅ Δ DEF , which side  is congruent to AC?
a)
EF
b)
DF
c)
BE
36.
If  Δ ABC ≅ Δ DEF , which side  is congruent to FE?
a)
BA
b)
CA
c)
CB
37.
If LMNO ≅ WZYX, Which angle is congruent to ∠NOL?
a)
∠WZY
b)
∠YXW
c)
∠XYZ
38.
If LMNO ≅ WZYX, Which angle is congruent to ∠WZY?
a)
∠LMN
b)
∠MNO
c)
∠MOL
39.
If LMNO ≅ WZYX, Which side is congruent to MN?
a)
WZ
b)
WY
c)
ZY
40.
Which of the following is a valid congruence statement for the given image?
a)
ΔDFE ≌ ΔCAB
b)
ΔDFE ≌ ΔACB
c)
ΔDFE ≌ ΔBAC
41.
What is the measure of ∠E
a)
60 degrees
b)
70 degrees
c)
can not be determined
42.
The symbol for congruence is ______
a)
=
b)
≅
c)
≈
d)
⋍
43.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
44.

Which triangle congruence theorem proves the two triangles congruent?

a)

SSS

b)

SAS

c)

not enough information

45.

Which triangle congruence theorem proves the two triangles congruent?

a)

SAS

b)

SSS

c)

Not enough information given

46.

Which triangle congruence theorem proves the two triangles congruent?

a)

SSS

b)

SAS

c)

not enough information

47.

Which triangle congruence theorem proves the two triangles congruent?

a)

SAS

b)

SSS

c)

not enough information

48.
What is the measure of ∠E
a)
60 degrees
b)
70 degrees
c)
can not be determined
49.
What is the measure of <C?
a)
5º
b)
25º
c)
100º
d)
125º
50.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

51.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
52.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
53.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
54.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
55.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
56.
Factor:
 2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
57.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
58.
a)
A
b)
B
c)
C
d)
D
59.
What is the value of the ANGLE A (not just x)?
a)
151
b)
68
c)
151
d)
70
60.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
61.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
62.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
63.
What is the correct congruence statement?  ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
64.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
65.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
66.
a)
DE≅WV
b)
DE≅DF
c)
FE≅XV
d)
XV≅WX
67.
a)
IJ≅CE
b)
CE≅JH
c)
DE≅CE
d)
DE≅JI
68.
What is the "statement" for step 3 of the proof?
a)
AH=AN
b)
AD=AD
c)
HD=ND
d)
HD=DN
69.
If the "statement" for step 3 is  ∡HJI≅∡KJL of the proof, what is the "reason"?
a)
Vertical Angles
b)
Reflexive Property
c)
Alternate Interior Angles
d)
Given
70.
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)
71.
What is the "statement" for step 4 of the proof?
a)
∡MAH≅∡THA
b)
∆MHA≅∆THA
c)
HM=AT
d)
∆MAH≅∆THA
72.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
73.
What is the reason?
a)
Definition of perpendicular
b)
Definition of Right angle
c)
Definition of 90 
d)
Definition of angle
74.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
75.
Solve
6x2 + 17x + 12 = 0
a)
x = -4/3, x = -3/2
b)
x = 9, x = 8
c)
x = 4, x = 3
d)
x = -4, x = -3
76.
Solve
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
77.
Solve
 2x² - 3x - 2 = 0
a)
x = 1, x = -1
b)
x = -1/2, x = 2
c)
x = 1/2, x = 2
d)
x = 1/2, x = 1
78.
What are the factors AND solutions of x2 + 2x – 3 = 0
a)
(x - 2)(x + 1); x=2, x=-1
b)
(x + 1)(x - 3); x=-1, x=3
c)
(x + 2)(x - 1); x=-2, x=1
d)
(x - 1)(x + 3); x=1, x=-3
79.
Which equation would you use to find x?
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=0
80.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
81.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
82.
Which is NOT a Postulate or Theorem that proves triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
83.
Identify the 'b' value:
 y = 16x2 - 8x - 24
a)
16
b)
-8
c)
8
d)
-24
84.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
85.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
86.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
87.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
88.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
89.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
90.

What are the zeros to the equation

x2 - 2x = 8?

a)

x = 2 or x = -4

b)

x = 1 or x = -8

c)

x = 4 or x = -2

d)

x = 8 or x = -1

91.

The triangle sum theorem states that the sum of the interior angles of all triangles equals ________.

a)

100*

b)

180*

c)

90*

d)

360*

92.

<2 and <8 are ____________________.

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Same side exterior angles

d)

Vertical angles

93.

Name a pair of alternate interior angles.

a)

<c & <d

b)

<a & <b

c)

<a & <c

d)

<a & <d

94.

<1 and <2 are ________________ angles.

a)

Same side interior

b)

Same side exterior

c)

Alternate exterior

d)

Alternate interior

95.

Name the relationship of <1 and <2

a)

Vertical angles

b)

Corresponding angles

c)

Supplementary angles

d)

Complementary angles

96.

<a and <f are _______________ angles

a)

Same side interior

b)

Alternate interior

c)

Same side exterior

d)

Alternate exterior

97.

Name a pair of same side interior angles.

a)

<3 and <4

b)

<3 and <6

c)

<2 and <7

d)

< 2 and <3

98.

Name the transversal on the image.

a)

Line m

b)

Line l

c)

Line t

99.

Corresponding angles formed by a transversal cutting through parallel lines are _________________.

a)

Congruent

b)

Supplementary

c)

Complementary

d)

Linear pairs

100.

Name a pair of corresponding angles.

a)

< a and <b

b)

<d and <f

c)

<g and <b

d)

<b and <c

101.

Are triangle ABC and triangle DEF similar?

a)

No

b)

Yes

102.

If <a = 63* and <b = 88*, what is the measure of <c?

a)

29*

b)

30*

c)

90*

d)

180*

103.

Determine the measure of <5 if <3 = 120*

a)

120*

b)

60*

c)

180*

d)

90*

104.

The measure of <g = 71*, what is the measure of <a?

a)

109*

b)

71*

c)

19*

d)

151*

105.

If the measure of <c = 35*, what is the measure of <d?

a)

55*

b)

45*

c)

145*

d)

180*

106.

Why are <b and <f congurent?

a)

They are alternate interior angles formed on parallel lines cut by a transversal.

b)

They are alternate exterior angles formed on parallel lines cut by a transversal.

c)

They are vertical angles formed on parallel lines cut by a transversal.

d)

They are same side exterior angles formed on parallel lines cut by a transversal.

107.

<3 and <6 are same side interior angles, if <6 = 60*, what is the measure of <3?

a)

60*

b)

180*

c)

150*

d)

120*

108.

Corresponding angles formed on parallel lines cut by a transveral are always congruent.

a)

True

b)

False

c)

Sometimes

109.

The measure of <7 = 125*, what is the measure of <2?

a)

125*

b)

180*

c)

15*

d)

55*

110.

<DBE = 90*; <BED = 75*. What is the measure of <EDB

a)

15*

b)

25*

c)

35*

d)

45*

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