AnswersAZ-Geometry A MA201Triangle Congruence: ASA and AAS

Using Triangle Congruence Theorems Answers

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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
2
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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
3

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

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
4

Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
HL.
5

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

Question illustration
A
HL
B
SSA
C
AAS
D
SSS
6

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
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

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
10

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
11

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

Question illustration
A
AAS
B
ASA
C
SAS
D
HL
12

Consider the diagram.

Question illustration
A
HL
B
SSS
C
ASA
D
SAS
13

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

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