Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be rotated, reflected, or translated, but they remain the same shape and size.

Tags

CCSS.8.G.A.2

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' means 'is congruent to'. It is used to indicate that two figures have the same shape and size.

Tags

CCSS.8.G.A.2

Front

How can you determine if two triangles are congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal. This can be proven using congruence postulates like SSS, SAS, ASA, AAS, or HL.

Tags

CCSS.8.G.A.2

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate 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 Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate 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 Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence Postulate 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 Congruence Postulate?

Back

The AAS (Angle-Angle-Side) Congruence Postulate 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 Congruence Theorem?

Back

The HL (Hypotenuse-Leg) Congruence 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 a congruence statement?

Back

A congruence statement is a mathematical statement that shows two figures are congruent. It lists the corresponding vertices of the figures, such as ΔABC ≅ ΔDEF.

Tags

CCSS.HSG.CO.B.7

Front

Why is the order of letters important in a congruence statement?

Back

The order of letters in a congruence statement is important because it indicates which vertices correspond to each other. For example, in ΔABC ≅ ΔDEF, A corresponds to D, B corresponds to E, and C corresponds to F.

Tags

CCSS.HSG.CO.B.7