Question

Why are the triangles congruent?

Answer 1

You can prove triangles’ congruence with things called axioms (or postulates). For triangles, there are four:

(S means Side, A means Angle)

SAS

SSS

ASA

AAS

If you go round a triangle, in order (so aside, then the next angle, next side, etc.), and find that everything from one of these postulates is equal, you have two congruent triangles.

(These triangles’ sides and angles, which are marked on the image, are equal to the other’s)

This diagram shows the SAS axiom, as the equal parts of the triangle go in order of a side (Y to Z), an angle (Y to Z to X), and another side (Z to X).

Hope this helps!

Answer 2

hi

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.