AnswersPMHS Geometry Q2Using Triangle Congruence Theorems

Using Triangle Congruence Theorems Answers

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1
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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
2
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Consider the diagram.

Question illustration
A
HL
B
SSS
C
ASA
D
SAS
3

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
4

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

Question illustration
A
AAS
B
ASA
C
SAS
D
HL
5

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
6

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
7

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

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
8

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
9

Given: bisects ∠BAC; AB = AC

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
10

Consider the diagram.

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

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