Triangle Congruency: SSS & SAS

Front

What does SSS stand for in triangle congruency?

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 congruency?

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 does AAS stand for in triangle congruency?

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?

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 sides equal and the included angle is not known, are they congruent?

Back

Not necessarily. The triangles may or may not be congruent without knowing the included angle.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various applications in proofs and real-world problems.

Front

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

Back

Measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent by the SSS postulate.

Front

What is the relationship between congruent angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, meaning if two triangles are congruent, their angles match in measure.

Front

What is the difference between congruence and similarity in triangles?

Back

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