4.4 SSS and SAS Practice

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 ASA postulate?

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 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 HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles that states if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is SSA in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It is possible to have two different triangles with the same SSA configuration.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three corresponding sides of one triangle are equal to the three corresponding sides of another triangle.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, 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 additional information is needed for SAS congruence?

Back

For SAS congruence, you need to know the lengths of two sides and the measure of the included angle.

Front

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

Back

No, knowing only two sides (SSA) does not guarantee congruence; additional information is needed.