Triangle Congruency

Front

What information is required to prove triangles are congruent?

Back

At least one of the following: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What does SSS stand for in triangle congruency?

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 SAS stand for in triangle congruency?

Back

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

Front

What does ASA stand for in triangle congruency?

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 congruency?

Back

AAS stands for Angle-Angle-Side, a postulate 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 Congruence Theorem?

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 triangles are congruent.

Front

When can we use the HL Congruence Theorem?

Back

The HL Congruence Theorem can be used only for right triangles.

Front

What is the significance of the reflexive property in triangle congruency?

Back

The reflexive property states that a side or angle is congruent to itself, which can be used in proofs involving overlapping triangles.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

If two triangles have two pairs of equal angles, the third pair of angles must also be equal, making the triangles congruent by the AAS postulate.

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape (equal corresponding sides and angles), while similar triangles have the same shape but not necessarily the same size (equal corresponding angles and proportional sides).