4-28 Congruent Triangles Review

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

Which triangle congruence postulate is not valid?

Back

SSA (Side-Side-Angle) is not a valid postulate for proving triangle congruence.

Front

What is the correct congruence statement for triangles ΔRTS and ΔEFD if they are congruent?

Back

ΔRTS ≅ ΔFDE.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite those angles are proportional, but the triangles are not necessarily congruent unless a side is also equal.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means all corresponding sides and angles are equal.

Front

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

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove that 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 parts of another triangle.