Similarity Statements

Front

What does it mean for two shapes to be similar?

Back

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.

Front

Are similar shapes congruent?

Back

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

Front

What is a similarity statement?

Back

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

Front

What is the criteria for triangles to be similar?

Back

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

Front

If triangle A has sides of 3, 4, and 5, and triangle B has sides of 6, 8, and 10, are they similar?

Back

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

Front

What does the symbol '∼' represent in geometry?

Back

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

Front

Can two quadrilaterals be similar?

Back

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

Front

If two triangles are similar, what can we say about their angles?

Back

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

Front

If ΔABC ∼ ΔDEF, what can we conclude about the sides of the triangles?

Back

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

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

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