SSS & SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence that states 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 criterion for triangle congruence that states 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

When can you use the SSS criterion to prove triangles are congruent?

Back

You can use the SSS criterion when you have the lengths of all three sides of both triangles.

Front

When can you use the SAS criterion to prove triangles are congruent?

Back

You can use the SAS criterion when you have the lengths of two sides and the measure of the included angle of both triangles.

Front

What is the significance of the included angle in the SAS criterion?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence in the SAS criterion.

Front

What does it mean if there is 'not enough information' to prove triangles congruent?

Back

It means that the given information does not provide sufficient side lengths or angle measures to apply either the SSS or SAS criteria.

Front

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

Back

No, knowing only one side is not sufficient to prove triangle congruence using SSS or SAS.

Front

What is the relationship between triangle congruence and similarity?

Back

Triangle congruence means the triangles are identical in size and shape, while similarity means they have the same shape but may differ in size.

Front

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

Back

Measure the lengths of all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using SAS?

Back

Measure two sides and the included angle of both triangles; if the two sides and the angle are equal, the triangles are congruent.