AnswersPMHS Geometry Q2Using Triangle Congruence Theorems

Using Triangle Congruence Theorems Answers

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1
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Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
HL.
2
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Consider the diagram.

Question illustration
A
HL
B
SSS
C
ASA
D
SAS
3

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
4

Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW

Question illustration
A
△XYZ ≅ △XYS by SSS
B
△ZYX ≅ △VYU by AAS
C
△RYZ ≅ △XZY by SAS
D
△ZVT ≅ △XWU by ASA
5

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
6

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

Question illustration
A
AAS
B
ASA
C
SAS
D
HL
7

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

Question illustration
A
HL
B
SSA
C
AAS
D
SSS
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

Which relationships in the diagram are true? Select three options.

A
△ACF ≅ △ECF by HL
B
ΔCBF ≅ ΔCDF by SSS
C
ΔBFA ≅ ΔDFE by SAS
D
ΔCFD ≅ ΔEFD by SSS
E
ΔCBE ≅ ΔCDA by HL
10

Consider the diagram.

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

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