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Question
What criteria can be used to prove the given triangles are congruent?
What criteria can be used to prove the given triangles are congruent?
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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
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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