IP--Congruent Figures

Front

What are congruent figures?

Back

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

Front

What does the symbol '≅' represent in geometry?

Back

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

Front

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

Back

The corresponding angles of congruent triangles are equal.

Front

If ∆ABC ≅ ∆DEF, what can be concluded about the sides of the triangles?

Back

The corresponding sides of congruent triangles are equal in length.

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 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 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 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 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 triangles are congruent.

Front

How can you determine if two triangles are congruent using transformations?

Back

Two triangles are congruent if one can be transformed into the other using a series of rotations, translations, or reflections.