Question

State if the two triangles are congruent. If they are, state how you know.

Answer 1

The first picture

The two triangles are proved by SSS (SIDE-SIDE-SIDE)

Reason: As you can see, there are marks on the sides of the triangle (three line marks and two line marks). Those marks represent congruence.

The second picture

The two triangles are congruent from Angle-Angle-Side. Try to picture the first triangle by rotating it the same way as the second triangle. You can see the marks and angles are the same.

Answer 2

Answer:

first triangle is congruent because of SSS Postulate in which two sides are same and one side is common

second triangle is congruent because of SAS postulate