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 AAS stand for in triangle congruence?

Back

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, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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, the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the significance of the included angle in SAS?

Back

In the SAS postulate, the included angle is the angle formed between the two sides being compared, which is crucial for establishing congruence.

Front

How can you determine if two triangles are congruent using AAS?

Back

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, the triangles are congruent.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are equal; this includes corresponding sides and angles.

Front

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

Back

The triangles are congruent by the AAS postulate.

Front

What is the definition of corresponding sides in triangles?

Back

Corresponding sides are the sides of two triangles that are opposite to their corresponding angles.