Congruent Triangles Practice

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Postulate states that if two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence 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 side between them in another triangle, then the triangles are congruent.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Postulate states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about the corresponding sides?

Back

AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Front

If ∠A ≅ ∠X and ∠B ≅ ∠Y, what can we conclude about triangles ΔABC and ΔXYZ?

Back

If the two angles are equal, and the side between them is also equal, then the triangles are congruent by the ASA Postulate.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

If ΔDEF ≅ ΔRST, what can we conclude about ∠T?

Back

∠T ≅ ∠F.

Front

What is the significance of the order of vertices in triangle congruence?

Back

The order of vertices indicates which angles and sides correspond to each other in congruent triangles.

Front

If two triangles have two pairs of equal sides and the included angle is not equal, are they congruent?

Back

No, they are not congruent. The triangles must have the included angle equal for SAS congruence.