4-5 SSS & SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

When can you use the SSS congruence criterion?

Back

You can use the SSS criterion when you know the lengths of all three sides of two triangles and want to prove they are congruent.

Front

When can you use the SAS congruence criterion?

Back

You can use the SAS criterion when you know the lengths of two sides and the measure of the included angle of two triangles to prove they are congruent.

Front

If two triangles have sides of lengths 5, 7, and 10, are they congruent?

Back

Yes, if another triangle also has sides of lengths 5, 7, and 10, they are congruent by SSS.

Front

If triangle ABC has sides AB = 6, AC = 8, and angle A = 60°, what can you conclude about triangle DEF with DE = 6, DF = 8, and angle D = 60°?

Back

Triangle ABC is congruent to triangle DEF by SAS.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

Can you prove two triangles are congruent if only one side is known?

Back

No, you need at least two sides and the included angle (SAS) or all three sides (SSS) to prove congruence.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence helps in establishing the equality of shapes and sizes, which is fundamental in solving geometric problems.

Front

If two triangles have two pairs of equal sides and a pair of equal angles, are they congruent?

Back

Yes, they can be proven congruent using the SAS criterion.