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

If two polygons 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?

Back

The symbol for congruence is '≅'.

Front

Given two congruent triangles, if one triangle has a side measuring 10 cm, what is the length of the corresponding side in the other triangle?

Back

The length of the corresponding side in the other triangle is also 10 cm.

Front

What does the congruence statement ∆ABC ≅ ∆DEF imply?

Back

The congruence statement ∆ABC ≅ ∆DEF implies that triangle ABC is congruent to triangle DEF, meaning their corresponding sides and angles are equal.

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 is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal; each angle in one triangle corresponds to an equal angle in the other triangle.

Front

If triangle XYZ is congruent to triangle PQR, what can be said about angle Y and angle Q?

Back

Angle Y is equal to angle Q.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates which vertices correspond to each other. For example, in ∆ABC ≅ ∆DEF, A corresponds to D, B to E, and C to F.

Front

If two shapes are congruent, what can be said about their perimeters?

Back

If two shapes are congruent, their perimeters are also equal.