AnswersPMHS Geometry Q2Using Triangle Congruence Theorems

Using Triangle Congruence Theorems — Unit test Answers

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Complete the paragraph proof.Given: and are right anglesProve: bisects

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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Which congruence theorem can be used to prove △WXZ ≅ △YZX?

Question illustration
A
AAS
B
ASA
C
SAS
D
HL
3

Consider the diagram.

Question illustration
A
HL
B
SSS
C
ASA
D
SAS
4

Triangles ABC and DEF have the following characteristics:∠B and ∠E are right angles∠A ≅ ∠DBC ≅ EF

A
AAS
B
ASA
C
HL
D
SAS
5

Which congruence theorem can be used to prove △BDA ≅ △BDC?

Question illustration
A
HL
B
SSA
C
AAS
D
SSS
6

Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
HL.
7

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

A
SSS
B
AAS
C
SAS
D
HL
8

Given: ∠GHD and ∠EDH are right; GH ≅ ED

Question illustration
A
△GHD ≅ △EDH by SAS
B
△GHF ≅ △EDF by SSS
C
△FDH ≅ △FDE by ASA
D
△HFD ≅ △HFG by SSS
9

Given: bisects ∠BAC; AB = AC

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
10

Triangles ABC and DBC have the following characteristics: BC is a side of both triangles∠ACB and ∠DCB are right anglesAC ≅ DC

A
AAS
B
SSS
C
HL
D
SAS

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