AnswersPMHS Geometry Q2Using Triangle Congruence Theorems

Using Triangle Congruence Theorems Answers

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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
2
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Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
HL.
3

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
4

Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics: ∠ACB and ∠DCE are vertical angles∠B ≅ ∠EBC ≅ EC

A
HL
B
ASA
C
SSS
D
SAS
5

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
6

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
7

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
8

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
9

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
10

Consider the diagram.

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

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