Triangle Congruence Proofs Review

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What do we know if a segment bisector cuts a segment?

Back

It creates two congruent segments.

Front

What can we conclude if two angles are both right angles?

Back

They are congruent to each other.

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; 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 does SAS stand for in triangle congruence?

Back

Side-Angle-Side; 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

Triangles that have the same size and shape; their corresponding sides and angles are equal.

Front

What is the significance of the statement 'EA=IA' in triangle proofs?

Back

It indicates that segments EA and IA are congruent, which is crucial for establishing triangle congruence.

Front

What can be inferred from the statement 'AC = CD'?

Back

It indicates that segments AC and CD are congruent, which can help in proving triangle congruence.