5.3 SAS

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does 'included angle' mean in the context of triangles?

Back

The included angle is the angle formed between two sides of a triangle.

Front

Name the included angle between \( \overline{JK} \) and \( \overline{KL} \).

Back

∠JKL

Front

How can you determine if two triangles are congruent using the SAS Congruence Theorem?

Back

You need to verify that two sides of one triangle are equal to two sides of another triangle and that the angle between those sides is also equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the order of sides and angles in the SAS Congruence Theorem?

Back

The order is significant because the angle must be between the two sides being compared for the theorem to apply.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have two sides of equal length and a non-included angle, can they be proven congruent using SAS?

Back

No, because the angle must be included between the two sides for SAS to apply.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.

Tags

CCSS.8.G.A.2

Front

Name the included angle between \( \overline{PK} \) and \( \overline{LK} \).

Back

∠PKL

Front

What is a common misconception about the SAS Congruence Theorem?

Back

A common misconception is that any two sides and any angle can be used to prove congruence, but the angle must be the included angle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the first step in using the SAS Congruence Theorem to prove triangles are congruent?

Back

Identify the two sides and the included angle in both triangles.

Tags

CCSS.HSG.SRT.B.5