Similarity Statements

Two shapes are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

No, similar shapes are not necessarily congruent. Congruent shapes are identical in size and shape.

A similarity statement expresses that two shapes are similar, often written in the form of ΔABC ∼ ΔDEF.

Triangles can be similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side).

Yes, triangle A and triangle B are similar because their corresponding sides are in proportion (3:6, 4:8, 5:10).

The symbol '∼' indicates that two shapes are similar.

Yes, two quadrilaterals can be similar if their corresponding angles are equal and their corresponding sides are in proportion.

If two triangles are similar, their corresponding angles are equal.

The sides of ΔABC and ΔDEF are in proportion to each other.

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.