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These triangles are congruent by the triangle congruence postulate [?]

These triangles are congruent by the triangle congruence postulate [?]-example-1
User Major
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1 Answer

2 votes

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,


AB\cong CD (Given)


\angle BAC\cong \angle DCA (Given)


AC\cong AC (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.


\Delta ABC\cong \Delta CDA [SAS congruence postulate]

Therefore, the correct option is B.

These triangles are congruent by the triangle congruence postulate [?]-example-1
User Mohammed H
by
5.5k points
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