5.2 & 5.3 Proving Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states 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

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states 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 does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS postulate.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning if two triangles are congruent, then their corresponding sides and angles are also equal.

Front

How can you prove that two triangles are not congruent?

Back

You can prove that two triangles are not congruent by showing that at least one pair of corresponding sides or angles is not equal.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, the lengths of corresponding sides are equal, and the measures of corresponding angles are equal.

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

The ASA postulate states that if two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle, then the triangles are congruent.