SSS, SAS and ASA Congruence

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 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

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, 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 SAS?

Back

In SAS, the included angle 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 congruent using SSS?

Back

To determine congruence using SSS, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be known, while AAS allows for the non-included side to be known.

Front

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

Back

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