IXL | Congruent triangles: SSS, SAS, and ASA

Which rule explains why these triangles are congruent?

SSS

ASA

SAS

These triangles cannot be proven congruent.

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Learn with an example

Which rule explains why these triangles are congruent?

SSS

SAS

ASA

These triangles cannot be proven congruent.

Two triangles are congruent if they have the same size and shape. Here are three common ways to prove that two triangles are congruent:


SSS (side-side-side) All three corresponding sides are congruent.	SAS (side-angle-side) Two sides and the angle between them are congruent.	ASA (angle-side-angle) Two angles and the side between them are congruent.

First, look for congruent sides and angles.

≅

and

≅

Next, list the three congruency statements.

≅

Side

≅

Side

≅

Side

The congruent sides and angles form

SSS.

The triangles are congruent by the SSS Theorem.

Looking for more? Try these:

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