SSS and SAS Triangle Congruence.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two 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 angle between them.

Front

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

Back

No, you need more information, such as additional sides or angles, to determine congruence.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems help determine if two triangles are identical in shape and size.

Front

If two triangles have two equal sides and a non-included angle, can they be congruent?

Back

No, this situation does not guarantee congruence; you need the included angle for SAS.

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.