Prove that the triangles are congruent. If two triangles
have two sides and the included angle of one
equal to the corresponding
sides and the included angle
of the other
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Step-by-step explanation:
Prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Construction- Locate point X inside AB of triangle ABC such that XB=DE. Thus Angle-Side-Angle Congruence is proved.
Answered by
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Step-by-step explanation:
Two triangles are congruent, if two sides and included angle of one triangle are equal to two sides and included angle of the other triangle. This is SAS condition for congruence. For the two triangles ΔABC and ΔPQR, if AC = PQ, BC = PR and ∠C = ∠P , then using the SAS rule, ΔABC is congruent to ΔPQR.
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