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Standard VII
Mathematics
ASA Congruence Criterion
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Question
What criteria can be used to prove the given triangles are congruent?
A
SSS
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B
RHS
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C
SAS
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D
ASA
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Solution
The correct option is
D
ASA
Given, in triangles,
△
PQR and
△
ACB,
∠
RQP =
∠
BCA = 50° (given)
side QR = side CB = 7cm
∠
QRP =
∠
CBA = 180° - (70° + 50°)
⇒
∠
QRP =
∠
CBA = 180° - 120° = 60°
So, by ASA criterion for congruency of triangles,
△
PQR
≅
△
ACB
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