Question

Which of the following criteria always proves two triangles congruent?

A. 3 congruent corresponding sides
B. 2 congruent corresponding sides
C. 3 congruent corresponding angles

Answer 1

The criteria that always prove two triangles congruent are 3 congruent corresponding sides and 2 congruent corresponding angles.

Step-by-step explanation:

In geometry, congruent triangles are triangles that are identical in shape and size. The following criteria always prove two triangles congruent:

1. 3 congruent corresponding sides: If all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.
2. 2 congruent corresponding angles: If two angles of one triangle are congruent to the corresponding angles of another triangle, then the two triangles are congruent.

It is important to note that the third criteria listed in the options, which is '3 congruent corresponding angles,' does not always prove two triangles congruent.