Congruent Triangles With Proofs

Front

What are congruent triangles?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself, used in proofs involving congruent triangles.

Front

What is the first statement in the reason column of a proof?

Back

Given; it refers to the information provided at the start of a proof.

Front

How can you prove triangles are congruent using SSS?

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the importance of order in triangle congruence?

Back

The order of the vertices matters; corresponding parts must match in the same sequence.

Front

What does the term 'corresponding parts' refer to?

Back

The sides and angles of triangles that are in the same relative position.

Front

What is the Angle-Side-Angle (ASA) criterion?

Back

A method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a geometric statement.

Front

What is the definition of a bisector?

Back

A line or segment that divides another line segment into two equal parts.