Question

A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don’t know the rigid transformations that map one triangle to the other.

A. How do you think you can prove the two triangles are congruent without using rigid transformations?

(i am begging, please help)

Answer 1

To prove that two triangles are congruent without using rigid transformations, you can use the side-angle-side (SAS), angle-side-angle (ASA), or side-side-side (SSS) criteria.

To prove that two triangles are congruent without using rigid transformations, you can use different methods such as the side-angle-side (SAS) criterion, angle-side-angle (ASA) criterion, or side-side-side (SSS) criterion.

The SAS criterion states that if two pairs of corresponding sides and the included angle are congruent, then the triangles are congruent. The ASA criterion states that if two pairs of corresponding angles and the included side are congruent, then the triangles are congruent. The SSS criterion states that if all three pairs of corresponding sides are congruent, then the triangles are congruent.

By comparing the corresponding sides and angles of the two triangles and using these criteria, you can prove that the triangles are congruent without relying on rigid transformations.