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 the SSS postulate state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS postulate state?

Back

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 the ASA postulate state?

Back

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 is the meaning of the term 'corresponding parts' in congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

What is the significance of the congruence statement PRC?

Back

It indicates that triangle PRC is congruent to another triangle, with corresponding vertices P, R, and C.

Front

If ∠A ≅ ∠M, what does this imply about triangles that include these angles?

Back

The triangles that include these angles may be congruent if other corresponding parts are also equal.

Front

What is the relationship between the sides of ΔYDW and ΔABC if side YW corresponds to side AC?

Back

Side YW is equal in length to side AC, indicating that these sides are corresponding parts of congruent triangles.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size, allowing them to be superimposed on each other.