Congruent Figures 2022-2023

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other through rotations, translations, or reflections.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two figures are congruent, typically written in the form of '△ABC ≅ △DEF'.

Front

What does the symbol '≅' represent?

Back

The symbol '≅' represents congruence, indicating that two geometric figures have the same shape and size.

Front

How do you determine if two triangles are congruent?

Back

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

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.

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.

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.

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.

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.

Front

What is a correspondence statement in geometry?

Back

A correspondence statement in geometry describes how the vertices of one figure correspond to the vertices of another figure, indicating which parts are congruent.