Congruent Triangles Practice

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 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

ASA stands for 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 AAS stand for in triangle congruence?

Back

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

Front

In congruent triangles, what are corresponding parts?

Back

Corresponding parts are the sides and angles of the triangles that are in the same relative position.

Front

If ΔEDF ≅ ΔBAC, what can we say about their corresponding angles and sides?

Back

The corresponding angles and sides of ΔEDF and ΔBAC are equal.

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles indicates that the triangles are identical in shape and size, allowing for the use of corresponding parts in proofs and problem-solving.

Front

If ∠A ≅ ∠D, what can we infer about triangles that include these angles?

Back

If ∠A ≅ ∠D, then the triangles that include these angles may be congruent if the corresponding sides are also equal.

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have the same area because they are identical in shape and size.

Front

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

Back

To prove two triangles are congruent using the SSS postulate, show that all three sides of one triangle are equal to the three sides of the other triangle.