SSS and SAS

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 AAS theorem?

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, then the triangles are congruent.

Front

What is the ASA theorem?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are equal to two angles and the corresponding 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

What additional information is needed for SSS congruence?

Back

For SSS congruence, the lengths of all three sides of both triangles must be known.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, you need to 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 triangle congruence statement?

Back

A triangle congruence statement is a mathematical statement that indicates that two triangles are congruent, often written in the form ▲ABC ≡ ▲DEF.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides being compared; it is crucial for establishing congruence.