Triangle Congruence SSS, SAS, ASA

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 does 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 is the significance of congruence statements in geometry?

Back

Congruence statements indicate that two geometric figures are congruent, meaning they have the same shape and size, allowing for the transfer of properties from one figure to another.

Front

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

Back

To determine if two triangles are congruent using the SSS postulate, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

What information is needed to apply the SAS postulate?

Back

To apply the SAS postulate, you need the lengths of two sides of one triangle, the measure of the included angle, and the corresponding lengths and angle of the other triangle.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal in measure.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

Front

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

Back

No, at least two sides and the included angle (SAS) or two angles and the included side (ASA) must be known to determine congruence.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size, and their corresponding sides and angles are not equal.