SSS and SAS 2024

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, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

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, then the triangles are congruent.

Front

What is the ASA postulate?

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, then the triangles are congruent.

Front

What is the AAS postulate?

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, then the triangles are congruent.

Front

What is the HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem that states 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

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is a congruence statement?

Back

A congruence statement is a way to express that two triangles are congruent, typically written as △ABC ≅ △DEF, indicating that triangle ABC is congruent to triangle DEF.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates the corresponding vertices of the triangles that are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

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