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

What is the SSS Triangle Congruence Theorem?

Back

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

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS Triangle Congruence Theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.

Front

Can two triangles be 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 congruence in triangles?

Back

Congruence in triangles is important because it allows us to determine that two triangles are identical in shape and size, which is useful in various applications in geometry.

Front

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

Back

No, having two equal sides and a non-included angle does not guarantee triangle congruence.

Front

What is an example of using the SSS theorem?

Back

If Triangle A has sides of lengths 5 cm, 7 cm, and 9 cm, and Triangle B also has sides of lengths 5 cm, 7 cm, and 9 cm, then Triangle A is congruent to Triangle B by SSS.

Front

What is an example of using the SAS theorem?

Back

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

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size, which can be due to differences in side lengths or angles.