Congruent Triangles

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What is the SSS congruence theorem?

Back

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

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What additional information is needed to prove triangles congruent by HL?

Back

To prove triangles congruent by HL, you need to show that the hypotenuse and one leg of the right triangles are congruent.

Front

What is the purpose of a congruency statement?

Back

A congruency statement indicates that two triangles are congruent and specifies the corresponding vertices.

Front

How can you prove two triangles are congruent using the ASA theorem?

Back

ASA stands for Angle-Side-Angle, which states that 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 definition of the AAS theorem?

Back

AAS stands for Angle-Angle-Side, which states that 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

What does the term 'corresponding parts' refer to in triangle congruence?

Back

Corresponding parts refer to the sides and angles of congruent triangles that match up with each other.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures, such as triangles, are congruent.

Front

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

Back

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