Congruent and Similar Triangles Review

Front

What are congruent triangles?

Back

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

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, then 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, then 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, then the triangles are congruent.

Front

What is the AA criterion for similarity?

Back

Angle-Angle: If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

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

Back

It indicates that two geometric figures are congruent, meaning they are identical in shape and size.

Front

How can you prove that two triangles are similar using the SAS criterion?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but can differ in size.