Congruence Statements

Front

What is a congruence statement in geometry?

Back

A congruence statement is a mathematical expression that indicates that two geometric figures are congruent, meaning they have the same shape and size.

Tags

CCSS.8.G.A.2

Front

What does the symbol '≅' represent in congruence statements?

Back

The symbol '≅' represents that two figures are congruent.

Tags

CCSS.8.G.A.2

Front

How do you denote congruence between two angles?

Back

You denote congruence between two angles by using the angle symbol followed by the angle names, for example, \( \angle A \cong \angle B \).

Tags

CCSS.8.G.A.2

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement is significant because it indicates which corresponding parts of the figures are congruent.

Tags

CCSS.8.G.A.2

Front

What is the relationship between corresponding sides and angles in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length, and corresponding angles are equal in measure.

Tags

CCSS.8.G.A.2

Front

What is the SSS (Side-Side-Side) congruence criterion?

Back

The SSS congruence criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS (Side-Angle-Side) congruence criterion?

Back

The SAS congruence criterion 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 is the ASA (Angle-Side-Angle) congruence criterion?

Back

The ASA congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS (Angle-Angle-Side) congruence criterion?

Back

The AAS congruence criterion 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 HL (Hypotenuse-Leg) congruence criterion?

Back

The HL congruence criterion applies to right triangles and states that if the hypotenuse and one leg of one 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