AnswersCA-Common Core Geometry DVHS Sem. 2Triangle Congruence: SSS and HL

Using Triangle Congruence Theorems Answers

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1
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Two sides and the included angle 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
ASA
B
SSS
C
SAS
D
HL
2
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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
3

Consider the diagram.

Question illustration
A
HL
B
SSS
C
ASA
D
SAS
4

Which congruence theorem can be used to prove △WXZ ≅ △YZX?

Question illustration
A
AAS
B
ASA
C
SAS
D
HL
5

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
6

Given: bisects ∠BAC; AB = AC

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
7

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
8

Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
AAS.
9

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
10

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

Question illustration
A
HL
B
SSA
C
AAS
D
SSS

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