Triangle Proofs Review

Front

What is the definition of congruent triangles?

Back

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

Front

What does the Side-Angle-Side (SAS) congruence criterion state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the Side-Side-Side (SSS) congruence criterion state?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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 does the Transitive Property state?

Back

If A = B and B = C, then A = C.

Front

How can you determine if two triangles are congruent using the Angle-Side-Angle (ASA) criterion?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding parts in congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle.

Front

What is the significance of the base angles in an isosceles triangle?

Back

The base angles are equal in an isosceles triangle, which can be used to prove congruence.