Triangle Congruence Postulates

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 does AAS stand for in triangle congruence?

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

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. Two triangles can have two sides and a non-included angle equal but may not be congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

To prove triangles are congruent by SAS, you need to know the lengths of two sides and the measure of the included angle.

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

No, knowing only one angle and two sides (SSA) does not guarantee that the triangles are congruent.

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

How can you determine if two triangles are not necessarily congruent?

Back

If the triangles are compared using SSA, they are not necessarily congruent, as this condition can lead to ambiguous cases.