Chapter 5 Test Review - Triangle Congruence (Regular)

The HL (Hypotenuse-Leg) Congruence Theorem states that if a right triangle has a hypotenuse and one leg that are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

We can use the HL Congruence Theorem only for right triangles.

SAS stands for Side-Angle-Side, which is a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

ASA stands for Angle-Side-Angle, which is a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS stands for Side-Side-Side, which is a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

The congruence statement describes the relationship between two triangles that are proven to be congruent through one of the congruence postulates.

SSA (Side-Side-Angle) is not a valid method for proving triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

The reflexive property states that any geometric figure is congruent to itself, which is often used in proofs involving shared sides.

No, the HL Theorem is specifically applicable only to right triangles.