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Triangle Congruence

Total questions: 45

Worksheet time: 2hrs 14mins

Name
Class
Date
1.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

2.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
3.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
4.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

7.

∠E corresponds to ∠ __

a)

A

b)

B

c)

C

d)

D

8.
If ΔDEF ≅ ΔRST, then we can conclude that DE = what?
a)
ST
b)
RS
c)
DF
d)
RT
9.
If ΔDEF ≅ ΔRST, then we can conclude that ∠T ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
EF
10.
If ΔDEF ≅ ΔRST, then we can conclude that ST = what?
a)
ST
b)
RT
c)
EF
d)
RF
11.

If the triangles are congruent, give the property. Otherwise, mark "Not able to tell"

a)

SAA

b)

SAS

c)

ASA

d)

Not able to tell

12.
a)
ASA
b)
SAS
c)
SAA
13.

If the triangles are congruent, give the property. Otherwise, mark "Not able to tell"

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not able to tell

14.

If the triangles are congruent, give the property. Otherwise, mark "Not able to tell"

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not able to tell

15.

If the triangles are congruent, give the property. Otherwise, mark "Not able to tell"

a)

Not able to tell

b)

SAS

c)

ASA

d)

SAA

16.

If the triangles are congruent, give the property. Otherwise, mark "Not able to tell"

a)

Not able to tell

b)

SAS

c)

ASA

d)

SAA

17.

If the triangles are congruent, give the property.

a)

ASA

b)

SAS

c)

AAS

d)

No, this is the SSA one!!

18.
a)
∠RVS≅∠UVT; alternate interior angles
b)
∠SRV≅∠TUV; alternate interior angles
c)
∠RVS≅∠UVT; vertical angles
d)
∠SRV≅∠TUV; vertical angles
19.
a)
ASA and AAS use 2 different pairs of angles
b)
ASA uses the included side, but AAS uses the non-included side
c)
ASA uses the non-included side, but AAS uses the included side
d)
ASA and AAS use different pairs of sides
20.
a)
∠RVS≅∠TUV
b)
∠RVS≅∠TVU
c)
∠SRV≅∠TVU
d)
∠SRV≅∠TUV
21.
a)
∠NKM≅∠LMK & ∠LKM≅∠NMK; alternate interior angles
b)
KM≅MK; reflexive property
c)
all of the above
d)
none of the above
22.
a)
∠NKM≅∠LMK & ∠LKM≅∠NMK; alternate interior angles
b)
KM≅MK; reflexive property
c)
all of the above
d)
none of the above
23.
a)
Congruent by ASA
b)
Congruent by HL
c)
Congruent by SAS
d)
Not Necessarily Congruent
24.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
25.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
26.
Find the angle measure for x.
a)
93
b)
71
c)
81
d)
55
27.
Find the Find the angle measure for x.
a)
72
b)
67
c)
65
d)
54
28.
Find the side measure for x.
a)
12
b)
11
c)
8
d)
6
29.
Find the side measure for x.
a)
A: 9
b)
B: 10
c)
C: 6
d)
D: 11
30.
Find the angle measure for x.
a)
51
b)
49
c)
78
31.
What is the measure of angle 2?
a)
50
b)
65
c)
115
32.
Find the angle measure for x.
a)
41
b)
45
c)
31
d)
98
33.
What do the angles in an equilateral triangle measure?
a)
30, 60, 90
b)
60, 60, 60
c)
45, 45, 90
d)
35, 55, 90
34.
Isosceles have how many sides that are congruent?
a)
2
b)
4
c)
none
d)
all
35.
Find x (Set up an equation)
a)
8
b)
24
c)
12
d)
7
36.
Find the angle measure for x.
a)
51
b)
43
c)
60
d)
75
37.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
38.
If an isosceles triangle has a base angle measuring 40°, then what measure is the vertex angle?
a)
120°
b)
100°
c)
40°
d)
80°
39.
Find x
a)
9
b)
2
c)
6
d)
4
40.
What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
41.
.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
45.
a)
Equilateral Triangle
b)
Scalene Triangle
c)
Isosceles Triangle
d)
Right Triangle