Congruent shapes

Front

What are congruent shapes?

Back

Congruent shapes are figures that have the same size and shape. This means that all corresponding sides and angles are equal.

Front

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

Back

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

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

How do you write a congruence statement for two congruent triangles?

Back

You write a congruence statement by matching the vertices of the triangles in order, e.g., ΔABC ≅ ΔDEF.

Front

What does it mean if two triangles are congruent by SSS (Side-Side-Side) criterion?

Back

It means that all three sides of one triangle are equal in length to the three sides of the other triangle.

Front

What is the SAS (Side-Angle-Side) criterion for triangle congruence?

Back

Two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle.

Front

What is the ASA (Angle-Side-Angle) criterion for triangle congruence?

Back

Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle.

Front

What is the AAS (Angle-Angle-Side) criterion for triangle congruence?

Back

Two triangles are congruent if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of the other triangle.

Front

What is the HL (Hypotenuse-Leg) criterion for triangle congruence?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

If triangle ABC is congruent to triangle DEF, what can be said about angle A and angle D?

Back

Angle A is equal to angle D.