SSS, SAS, ASA, AAS

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate used to prove that two triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the congruence statement for triangles ΔABC and ΔDEF if they are congruent by AAS?

Back

The congruence statement would be ΔABC ≅ ΔDEF.

Front

How can you determine if two triangles are congruent using SAS?

Back

To determine if two triangles are congruent using SAS, check if two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle.

Front

What is the significance of the included angle in the SAS postulate?

Back

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

Front

Can two triangles be congruent if only two angles are known?

Back

Yes, if two angles are known, the third angle can be determined, and the triangles can be proven congruent using the AAS or ASA postulate.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical expression that indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

If two triangles have sides of lengths 5, 7, and 10, and another triangle has sides of lengths 5, 7, and 10, what can be concluded?

Back

It can be concluded that the two triangles are congruent by the SSS postulate.