Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other, meaning all corresponding sides and angles are equal.

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 are equal in length, and their corresponding angles are equal in measure.

Front

What is the symbol used to denote congruence in geometry?

Back

The symbol for congruence is '≅'.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

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

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS 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 two triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA 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 two triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem 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 two triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

The HL 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 two triangles are congruent.

Front

How can you determine if two quadrilaterals are congruent?

Back

Two quadrilaterals are congruent if their corresponding sides and angles are equal.

Front

If quadrilateral MNOP is congruent to quadrilateral TSVU, what can be said about their corresponding sides?

Back

The corresponding sides of quadrilateral MNOP and quadrilateral TSVU are equal in length.