SSS and SAS Triangle Congruence.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 theorem 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

When can you use the SSS theorem?

Back

You can use the SSS theorem when you know the lengths of all three sides of two triangles.

Front

When can you use the SAS theorem?

Back

You can use the SAS theorem when you know the lengths of two sides and the measure of the included angle of two triangles.

Front

What is the conclusion of the SAS theorem?

Back

The conclusion of the SAS theorem is that the two triangles are congruent.

Front

What is the conclusion of the SSS theorem?

Back

The conclusion of the SSS theorem is that the two triangles are congruent.

Front

Can you prove triangle congruence with only two sides?

Back

No, you need either the included angle (SAS) or all three sides (SSS) to prove triangle congruence.

Front

What does 'not enough information' mean in triangle congruence?

Back

'Not enough information' means that the given data is insufficient to determine if the triangles are congruent.

Front

What is an example of using the SSS theorem?

Back

If Triangle A has sides of lengths 5 cm, 7 cm, and 10 cm, and Triangle B also has sides of lengths 5 cm, 7 cm, and 10 cm, then Triangle A is congruent to Triangle B by SSS.

Front

What is an example of using the SAS theorem?

Back

If Triangle A has sides of lengths 4 cm and 6 cm with an included angle of 60 degrees, and Triangle B has sides of lengths 4 cm and 6 cm with the same included angle, then Triangle A is congruent to Triangle B by SAS.