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
AAS.
2
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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

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
4

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
5

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

Question illustration
A
HL
B
SSA
C
AAS
D
SSS
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: bisects ∠BAC; AB = AC

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
8

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
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
HL.
11

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
12

Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
13

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

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