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, then 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, then 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 difference between SSS and SAS?

Back

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

Front

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

Back

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

Front

If two triangles have two sides of lengths 4 and 6, and the included angle is 60 degrees, can you prove them congruent using SAS?

Back

Yes, if the other triangle has two sides of lengths 4 and 6 and the included angle is also 60 degrees, they are congruent by SAS.

Front

What is the criteria for triangle congruence using SSS?

Back

The criteria for triangle congruence using SSS is that all three corresponding sides of the triangles must be equal.

Front

What is the criteria for triangle congruence using SAS?

Back

The criteria for triangle congruence using SAS is that two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

Can you prove two triangles congruent if you only know one side length?

Back

No, you cannot prove two triangles congruent with only one side length; you need more information.