AnswersPMHS Geometry Q2Using Triangle Congruence Theorems

Using Triangle Congruence Theorems Answers

13 verified answers8 views
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
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
14

Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
AAS.
16

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
17

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

Question illustration
A
HL
B
SSA
C
AAS
D
SSS
18

Consider the diagram.

Question illustration
A
HL
B
SSS
C
ASA
D
SAS
19

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
20

Given: bisects ∠BAC; AB = AC

Question illustration
A
AAS
B
SSS
C
ASA
D
SAS
21

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
22

Consider the diagram.

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

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