Question

how to prove 2 adjacent triangles crongruent?

Answer 1

Heyya!

First, start by looking at the triangles and looking for the given information. Three side measurements must be known for SSS. A side measurement, an angle measure and a side measurement is necessary for SAS. An angle measure, a side measurement and an angle measure must be known for ASA.

Next, decide which rule can you use to check for congruence? No measures are given for any of the angles in either triangle so neither the SAS nor the ASA rule can be used to show congruence. However, the measurements of the sides are given. The SSS rule can be used to compare the triangles to determine congruence. Remember the sides that are equal in length must be corresponding sides of the triangles. In the first triangle, the side lengths are 4 in (side), 5 in (side), and 6 in (side). These are the same measurements of the corresponding sides of the second triangle.

The answer is the triangles are congruent because of the SSS rule.


Hope it helps!☺