Congruent Triangles

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 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 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 a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

Which postulate is not valid for proving triangle congruence?

Back

AAA (Angle-Angle-Angle) is not a valid postulate for proving triangle congruence because it does not provide information about the size of the triangles.

Front

What is the missing piece of information needed to prove triangles congruent using ASA?

Back

To use ASA, you need to know the length of the side between the two angles.

Front

If two triangles have two angles equal and the side between them equal, what can be concluded?

Back

The triangles are congruent by the ASA postulate.

Front

If two triangles have three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS postulate.

Front

If two triangles have two sides equal and the included angle equal, what can be concluded?

Back

The triangles are congruent by the SAS postulate.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they allow us to establish that two shapes are identical in size and shape, which is fundamental in proofs and constructions.