Proportions and Similar Figures

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What is the relationship between the angles of similar figures?

Back

All corresponding angles in similar figures are equal.

Front

What is the relationship between the sides of similar figures?

Back

The corresponding sides of similar figures are proportional.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

Can two figures be similar if they have different shapes?

Back

No, two figures cannot be similar if they have different shapes.

Front

What is a proportion in the context of similar figures?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you determine if two figures are similar?

Back

You can determine if two figures are similar by checking if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the significance of the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle ABC is similar to triangle DEF, what can be said about the angles?

Back

Angle A is equal to angle D, angle B is equal to angle E, and angle C is equal to angle F.

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, they either have different shapes or their corresponding angles and sides do not maintain proportionality.