#5.3, 5.5, 5.6 Proving Triangles Congruent

Front

What is the SSS Theorem of congruence?

Back

The SSS (Side-Side-Side) Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to use the SSS Theorem?

Back

You need to know the lengths of all three sides of both triangles.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one side is known?

Back

No, at least two sides and the included angle or two angles and a side must be known to prove congruence.

Tags

CCSS.8.G.A.2

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.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of congruent angles, what can be concluded?

Back

The triangles are congruent by the AAS or ASA theorem.

Tags

CCSS.HSG.SRT.B.5

Front

What is the importance of the included angle in SAS?

Back

The included angle is crucial in SAS because it must be between the two sides being compared for the triangles to be proven congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Tags

CCSS.HSG.CO.B.7