Triangle Congruence review (AAS, SSS, ASA, SAS, HL)

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 the corresponding parts 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 the 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 the corresponding parts 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 the corresponding parts of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a postulate used to prove that two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

The sides opposite the equal angles are proportional, but the triangles are not necessarily congruent unless a side is also known.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent by the SSS postulate.

Front

What information is needed to use the ASA postulate?

Back

To use the ASA postulate, you need two angles and the included side of one triangle to be equal to the corresponding parts of another triangle.

Front

What is the significance of the included side in the ASA postulate?

Back

The included side is the side between the two angles; it must be equal for the triangles to be congruent.

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

Yes, if the known angle is included between the two sides, you can use the SAS postulate to prove congruence.