Triangle Congruence Proofs

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two congruent angles.

Front

What does the Reflexive Property state?

Back

The Reflexive Property states that any quantity is equal to itself (e.g., AB = AB).

Front

What is a segment bisector?

Back

A segment bisector is a point, line, ray, or segment that divides a segment into two congruent segments.

Front

What additional information is required for two triangles to be congruent by SAS?

Back

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

Front

If DA bisects IE, what can we conclude about segments ID and ED?

Back

ID = ED.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.