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Maths-

General

Easy

Question

Prove that triangles ABC and ADC are congruent using SAS congruence postulate.

hint Hint:

Find the angles and sides that are equal and hence prove the congruence.

The correct answer is: △ABC ⩭ △ADC by SAS congruence rule.

Complete step by step solution:
SAS postulate: If 2 sides and the included angle of one triangle are equal to 2 sides
and the included angle of another triangle, then the triangles are congruent by SAS
congruence criterion.
Consider 2 triangles, △ABC and △ADC
From the figure, we have
∠ABC = ∠ADC = 90° (given)
Also, AD = BC (given)
∴ △ ABC ⩭ △ADC by SAS congruence rule.

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