Chapter 5 Test Review - Triangle Congruence (Honors)

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states 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

ASA stands for Angle-Side-Angle, a postulate that states 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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, the triangles are congruent.

Front

What is the HL Theorem?

Back

The HL 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 triangles are congruent.

Front

If ∠E is 45° and ∠B is 55°, what is the measure of ∠C in a triangle?

Back

∠C = 180° - (∠E + ∠B) = 180° - (45° + 55°) = 80°.

Front

What is the definition of congruent triangles?

Back

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

Front

What additional information is required to use the HL Theorem?

Back

You need to know that one leg of each triangle is equal (e.g., GH ≅ XW).

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means if two triangles are congruent, their corresponding sides and angles are equal.