# What postulate or theorem proves the two triangles congruent?

## What postulate or theorem proves the two triangles congruent?

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

## What is SSS SAS ASA AAS?

SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side)

## Is AAA a congruence theorem?

Four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.

## What is AAA theorem?

may be reformulated as the AAA (angle-angle-angle) similarity theorem: two triangles have their corresponding angles equal if and only if their corresponding sides are proportional. Two similar triangles are related by a scaling (or similarity) factor s: if the first triangle has sides a, b, and c, then the second

SAS Postulate

side-angle-side

## What does SSS SAS ASA AAS mean?

We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles. In this lesson, we will consider the four rules to prove triangle congruence. They are called the SSS rule, SAS rule, ASA rule and AAS rule.

## What do we use SSS SAS ASA and AAS to prove?

ASA stands for Angle, Side, Angle, while AAS means Angle, Angle, Side. Two figures are congruent if they are of the same shape and size. ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.