SAS Triangle Congruence*

Front

What is the definition of the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle between those sides is also congruent, then the two triangles are congruent.

Front

What does the reflexive property state?

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 a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

How can you prove triangles are congruent using the SAS Postulate?

Back

To prove triangles are congruent using the SAS Postulate, you need to show that two sides of one triangle are congruent to two sides of another triangle and that the included angle between those sides is also congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the significance of the included angle in the SAS Postulate?

Back

The included angle is the angle formed between the two sides being compared. It must be congruent for the triangles to be proven congruent using the SAS Postulate.

Front

What is the definition of a bisector?

Back

A bisector is a line, segment, or ray that divides another segment or angle into two equal parts.

Front

What is the transitive property in geometry?

Back

The transitive property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

Front

What does it mean for angles to be vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding parts?

Back

If ∆ABC is congruent to ∆DEF, then their corresponding sides and angles are congruent: AB ≅ DE, BC ≅ EF, AC ≅ DF, ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.