TRIANGLE CONGRUENCE CRITERIA HOMEWORK

Front

What are the triangle congruence criteria?

Back

The triangle congruence criteria are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

Which triangle congruence criterion is NOT valid?

Back

AAA (Angle-Angle-Angle) is not a valid 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, which states that if three sides of one triangle are equal to three sides of another triangle, 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 equal to two sides and the included angle of another triangle, 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 equal to two angles and the included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

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 equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, e.g., \overline{CD} \cong \overline{CD}.

Tags

CCSS.HSG.SRT.B.5

Front

What is the HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, which is a criterion used to prove the congruence of right triangles. It states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

To prove two triangles are congruent using the AAS criterion, you need to show that two angles and a non-included side of one triangle are equal to the corresponding two angles and the non-included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to establish that two triangles are identical in shape and size, which is fundamental in solving various geometric problems.

Tags

CCSS.8.G.A.2