Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size, meaning they can be superimposed on each other.

Front

What is the symbol used to denote congruence between two figures?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can be said about their corresponding sides and angles?

Back

If two triangles are congruent, their corresponding sides and angles are equal.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates two figures are congruent, typically written in the form ΔABC ≅ ΔDEF.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What does the SSS congruence criterion state?

Back

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

Front

What does the SAS congruence criterion state?

Back

The SAS (Side-Angle-Side) 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.

Front

What does the ASA congruence criterion state?

Back

The ASA (Angle-Side-Angle) 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.

Front

What does the AAS congruence criterion state?

Back

The AAS (Angle-Angle-Side) 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.

Front

What does the HL congruence criterion state?

Back

The HL (Hypotenuse-Leg) criterion 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.