Unit 4 Day 3 Congruent Triangles

Front

What does the acronym 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

Is Angle-Angle-Angle (AAA) a valid rule for proving triangles congruent?

Back

No, AAA does not prove triangles congruent; it only shows that the triangles are similar.

Front

What does the acronym 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 the acronym 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 the acronym 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

Can two triangles be congruent if only one side is known to be equal?

Back

No, knowing only one side is not sufficient to prove triangle congruence; additional information about angles or other sides is needed.

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

Front

If two triangles have two sides equal and the included angle is not known, can they be proven congruent?

Back

No, without knowing the included angle, the triangles cannot be proven congruent.

Front

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

Back

The included angle is crucial in the SAS postulate because it must be between the two sides that are being compared for the triangles to be congruent.

Front

What is a necessary condition for using the SSS postulate?

Back

All three corresponding sides of the triangles must be known and equal.