Question

.6 If two triangles are congruent then their corresponding parts are ______________​

Answer 1

If two triangles are congruent then their corresponding parts are equal in length, and their corresponding angles are equal in measure.

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Answer 2

If two triangles are congruent then their corresponding parts are equal.

• Congruent triangles are defined as triangles that have the same shapes, sizes, and structures.
• The two triangles are said to be congruent if the three corresponding sides and corresponding angles are equal to each other.
• There are many congruency conditions by which two triangles are said to be congruent. These are RHS, SSS, SAS, AAS, ASA.
• If two triangles are congruent then their corresponding parts are equal.
• We need only 3 conditions equal out of 6 conditions to prove the congruency of the two triangles.
• The rest of the conditions can be proved equal by using the concept of corresponding parts of congruent triangles.

Hence, if two triangles are congruent then their corresponding parts are equal.