Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

What is the SSS postulate?

Back

The Side-Side-Side postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

The Side-Angle-Side postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

The Angle-Angle-Side postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the ASA postulate?

Back

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

Front

If ∆ABC≅∆XYZ, what can we conclude about the sides?

Back

AB≅XY, BC≅YZ, AC≅XZ.

Front

If two triangles are congruent, what can we say about their corresponding angles?

Back

Their corresponding angles are equal.

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If ∆PIG≅∆COW, what can we say about the side WO?

Back

WO is congruent to GI.