Front

What is the HL Congruence Theorem?

Back

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.

Front

When can we use the HL Congruence Theorem?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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.

Front

What does ASA stand for in triangle congruence?

Back

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.

Front

What does SSS stand for in triangle congruence?

Back

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.

Front

Which congruence statement describes the triangles?

Back

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

Front

What is the significance of SSA in triangle congruence?

Back

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.

Front

What is the difference between congruent triangles and similar triangles?

Back

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

Front

What is the reflexive property in triangle congruence?

Back

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

Front

Can the HL Theorem be used for non-right triangles?

Back

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