Triangle Congruence Postulates

Front

What does ASA stand for in triangle congruence?

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 does AAS stand for in triangle congruence?

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 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 does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

You need to know the lengths of the sides that are included between the two angles.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

You need to know the measures of the angles opposite the two sides.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

What is the significance of the included angle in SAS?

Back

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

Front

What is the significance of the included side in ASA?

Back

The included side is the side between the two angles being compared; it is essential for establishing congruence.