U5 Triangle Congruence Practice

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means if two triangles are congruent, all their corresponding sides and angles are also congruent.

Front

How can you determine if two triangles are congruent using the AAS rule?

Back

To use the AAS rule, you need to show that two angles and a non-included side of one triangle are equal to the corresponding two angles and the non-included side of another triangle.

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA requires the included side between the two angles to be equal, while AAS allows for the non-included side to be equal.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are angles that occupy the same relative position in each triangle.

Front

If ∠E ≅ ∠A, what can be said about triangles that include these angles?

Back

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

Front

What is the AAA rule in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar but not necessarily congruent.