Practice Section 5.3

Front

What is SAS in geometry?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence. It states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the Symmetric Property?

Back

The Symmetric Property states that if one figure is congruent to another, then the second figure is congruent to the first. For example, if triangle A is congruent to triangle B, then triangle B is congruent to triangle A.

Front

What angles are needed to complete SAS?

Back

To complete SAS, you need the included angle between the two sides that are known to be congruent.

Front

How can you show triangles are congruent using SAS?

Back

To show triangles are congruent using SAS, demonstrate that two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is the importance of the included angle in SAS?

Back

The included angle is crucial in SAS because it is the angle formed between the two sides being compared, which helps establish congruence.

Front

Can you use SAS to prove triangles are congruent if only one side is known?

Back

No, you need two sides and the included angle to use the SAS criterion for triangle congruence.

Front

What is an example of SAS in a triangle?

Back

If triangle ABC has sides AB = 5 cm, AC = 7 cm, and angle A = 60 degrees, and triangle DEF has sides DE = 5 cm, DF = 7 cm, and angle D = 60 degrees, then triangle ABC is congruent to triangle DEF by SAS.

Front

What is the difference between SAS and SSS?

Back

SAS (Side-Angle-Side) requires two sides and the included angle to prove congruence, while SSS (Side-Side-Side) requires all three sides to be congruent.