Maths-
General
Easy
Question
What additional information will ensure the congruence of the triangles ABC and PQR?
Hint:
Use the appropriate congruence rule.
The correct answer is: △ABC ⩭ △PQR, by ASA congruence rule
Complete step by step solution:
ASA postulate: If 2 angles and the included side of one triangle are equal to 2 angles
and the included side of another triangle, then the triangles are congruent by ASA
congruence criterion.
Consider 2 triangles, △ABC and △PQR
From the figure, we have
∠BAC = ∠QPR (given)
∠ACB = ∠PRQ (given)
According to ASA congruence rule, we must have AC = PR to satisfy the
postulate.
Then △ABC ⩭ △PQR, by ASA congruence rule.
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