Congruent Triangles Review

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 SSS stand for in triangle congruence?

Back

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

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 a corresponding non-included side of another triangle, the triangles are congruent.

Front

What additional information is required for two triangles to be congruent by SSS?

Back

The lengths of all three sides of both triangles must be known.

Front

If ∠A ≅ ∠M, what can be inferred about triangles containing these angles?

Back

If the triangles also have equal corresponding sides, they may be congruent.

Front

What is the significance of the congruence symbol (≅)?

Back

It indicates that two figures are congruent, meaning they have the same shape and size.

Front

How can you prove two triangles are congruent using the SAS postulate?

Back

By showing that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.