Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

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 where all three sides of one triangle are equal to the three sides of another triangle.

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 equal 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 are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

How can you prove two triangles are congruent using the AAS criterion?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal 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

ASA requires the included side between two angles to be equal, while AAS allows for a non-included side to be equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included side in triangle congruence?

Back

The included side is the side that lies between two angles; its equality is crucial in certain congruence criteria like ASA.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

No, you need at least two angles and the included side (ASA) or all three sides (SSS) to prove congruence.

Tags

CCSS.8.G.A.2

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the term 'corresponding parts' refer to in triangle congruence?

Back

Corresponding parts refer to the sides and angles of two triangles that are equal when the triangles are congruent.

Tags

CCSS.8.G.A.2