SSS/SAS Congruence Theorems

Front

What does SSS stand for in triangle congruence?

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, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

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 definition of a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

If two angles are congruent, what does that mean?

Back

If two angles are congruent, it means they have the same measure.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

You need to know that the included angle between the two sides is congruent.

Front

What is the definition of the Definition of Midpoint?

Back

The Definition of Midpoint states that a midpoint divides a segment into two equal segments.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal, meaning their corresponding sides and angles are congruent.