Triangle Proofs

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 theorem states that 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?

Back

Angle-Side-Angle (ASA) Congruence Theorem.

Front

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

Back

Given.

Front

What does the abbreviation HA stand for in triangle proofs?

Back

Hypotenuse-Angle, referring to a congruence condition for right triangles.

Front

What is the definition of the Side-Side-Side (SSS) Congruence Theorem?

Back

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

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 abbreviation HD=DN represent in triangle proofs?

Back

It indicates that segment HD is equal in length to segment DN, often used in congruence statements.

Front

What is the definition of corresponding angles in congruent triangles?

Back

Angles that are in the same relative position in two different triangles that are congruent.

Front

What theorem states that 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?

Back

Side-Angle-Side (SAS) Congruence Theorem.

Front

What is the significance of the statement ∡AED≅∡BEC in triangle proofs?

Back

It indicates that angle AED is congruent to angle BEC, which is a key step in proving triangle congruence.