Triangle Congruence SSS, SAS, ASA

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the AAS postulate?

Back

AAS stands for Angle-Angle-Side, a postulate stating that 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, the triangles are congruent.

Front

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

Back

No, knowing only one side is not sufficient to determine triangle congruence. At least two sides and the included angle or two angles and a side are needed.

Front

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

Back

If two triangles have two equal angles, their corresponding sides are proportional, but the triangles are not necessarily congruent unless the third angle is also equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles have the same size and shape (equal sides and angles), while similar triangles have the same shape but not necessarily the same size (proportional sides).

Front

How can you prove triangles are congruent using the SSS postulate?

Back

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

Front

How can you prove triangles are congruent using the SAS postulate?

Back

To prove triangles are congruent using the SAS postulate, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

How can you prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.