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Worksheets

AAS and HL

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
SSA
d)
HL
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
5.
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
6.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
7.

What side is included between angle D and Angle E?

a)

Side DF

b)

Side DE

c)

Side EF

d)

Angle F

8.

What side is included between Angle Y and Angle Z

a)

Side XY

b)

Side XZ

c)

Side YZ

d)

angle X

9.
When can we use the HL Congruence Theorem?
a)
Right Triangles
b)
Isosceles Triangles
c)
When we have a reflexive side
d)
SSA
10.
What additional information is required in order to know that the triangles are congruent by HL Theorem?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠V
c)
GI ≅ XV
d)
GH ≅ XW
11.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
12.

If

 MJ ‾⊥NK‾\overline{MJ\ }\perp\overline{NK}  then you can prove the two triangles are congruent by using which theorem?

a)

SSS

b)

SAS

c)

AAS

d)

HL

13.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

14.
Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.
a)
Yes, △ABC≅△YXW
b)
Yes, △CBA≅△WXY
c)
Yes, △BCA≅△XYW
d)
No
15.
Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.
a)
Yes, △ABC≅△NLM
b)
Yes, △CBA≅△NLM
c)
Yes, △CBA≅△MLN
d)
No
16.

Determine if the triangles are congruent.

a)

Yes, by ASA

b)

Yes, by SAS

c)

Yes, by AAA

d)

Cannot be determined

17.

Determine if the triangles are congruent.

a)

Yes by, ASA

b)

Yes, by AAS

c)

Yes, by SAS

d)

Not congruent

18.

Which of the following triangles are congruent to T

a)
b)
c)
d)
19.

Which triangles are congruent to E

a)
b)
c)
d)

none of them

20.

Which triangles are congruent to F

a)
b)
c)
d)

none of them

21.

Which triangles are congruent to A

a)
b)
c)
d)

none of them

22.

Which triangles are congruent to F?

a)
b)
c)
d)

NONE of them

23.

Which triangles are congruent to E?

a)
b)
c)
d)

NONE of them

24.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

25.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS