In a ABC and PQR, three equality relations between same parts areas follows: AB = QP, B = P and BC = PR. State which of thecongruence condition applies
Question
In a and , three equality relations between same parts areas follows:
State which of the congruence condition applies.
Solution
The congruence condition that applies here is the Side-Angle-Side (SAS) congruence condition.
Here's why:
In the given triangles ABC and PQR, we have AB = QP (one side), ∠B = ∠P (one included angle), and BC = PR (another side).
The Side-Angle-Side (SAS) congruence condition states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
So, the given conditions satisfy the SAS congruence condition.
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