Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

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

What is the significance of congruence in triangles?

Back

Congruence in triangles is significant because it allows us to determine that two triangles are identical in shape and size, which is essential in solving geometric problems.

Tags

CCSS.8.G.A.2

Front

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

Back

No, two triangles cannot be determined to be congruent with only one side known; additional information about angles or other sides is needed.

Tags

CCSS.8.G.A.2

Front

What is the criteria for triangle congruence using the SAA theorem?

Back

The SAA theorem 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 is the difference between ASA and AAS?

Back

The difference is that ASA requires the included side between the two angles to be known, while AAS allows for the side opposite one of the angles to be known.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean if two triangles are not necessarily congruent?

Back

It means that there is not enough information to conclude that the triangles are the same size and shape based on the given data.

Tags

CCSS.8.G.A.2