SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

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

State the SSS Congruence Theorem.

Back

The SSS Congruence Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

State the SAS Congruence Theorem.

Back

The SAS Congruence Theorem states 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 two triangles are congruent.

Front

What is the Reflexive Property of Congruence?

Back

Front

How can you prove two triangles are not congruent?

Back

You can prove two triangles are not congruent by showing that the corresponding sides or angles do not match according to SSS or SAS criteria.

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it is the angle formed between the two sides being compared; without it, the triangles may not be congruent.

Front

Can two triangles be congruent if only two sides are equal?

Back

No, two triangles cannot be proven congruent with only two sides equal unless the included angle is also known (SAS).

Front

What is an example of SSS in practice?

Back

If Triangle ABC has sides of lengths 5, 7, and 9, and Triangle DEF also has sides of lengths 5, 7, and 9, then Triangle ABC is congruent to Triangle DEF by SSS.

Front

What is an example of SAS in practice?

Back

If Triangle XYZ has sides of lengths 6 and 8 with an included angle of 60 degrees, and Triangle PQR has sides of lengths 6 and 8 with the same included angle of 60 degrees, then Triangle XYZ is congruent to Triangle PQR by SAS.