Congruence Practice

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a method for proving triangle congruence. It states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS Congruence Theorem?

Back

The SSS (Side-Side-Side) Congruence Theorem states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

How can you prove triangles are congruent using the SAS method?

Back

To prove triangles are congruent using SAS, you need to show that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What additional information is needed to use SAS for triangle congruence?

Back

You need to know the lengths of two sides and the measure of the included angle.

Front

What is the difference between AAS and ASA?

Back

AAS (Angle-Angle-Side) requires two angles and a non-included side, while ASA (Angle-Side-Angle) requires two angles and the included side.

Front

What is the significance of the reflexive property in triangle congruence?

Back

The reflexive property states that a geometric figure is congruent to itself, which is often used to show that a side or angle is shared between two triangles.

Front

Can two triangles be congruent if only one angle is known?

Back

No, you need at least two angles or one angle and the included side to prove congruence.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding sides and angles are also congruent.