Unit 4 - Final Exam Review

Front

What does the HL Congruence Theorem state?

Back

The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form △ABC ≅ △DEF.

Front

What does the SSS Postulate state?

Back

The SSS (Side-Side-Side) Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS Postulate state?

Back

The SAS (Side-Angle-Side) Postulate 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 two triangles are congruent.

Front

What does the AAS Postulate state?

Back

The AAS (Angle-Angle-Side) Postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What does the ASA Postulate state?

Back

The ASA (Angle-Side-Angle) Postulate 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 two triangles are congruent.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

Front

What is the measure of angle b if the other angles are 72° and 72°?

Back

Angle b measures 36°.

Front

What is the AAA Postulate?

Back

The AAA (Angle-Angle-Angle) Postulate states that if three angles of one triangle are equal to three angles of another triangle, then the triangles are similar, but not necessarily congruent.

Front

What is the definition of congruent triangles?

Back

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