Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are congruent, and their corresponding sides are proportional.

Front

What does it mean for angles in similar figures?

Back

All angles in similar figures are congruent, meaning they have the same measure.

Front

What does it mean for sides in similar figures?

Back

All corresponding sides in similar figures are proportional, meaning they have the same ratio.

Front

If two figures are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

If two figures have proportional sides, what can be concluded about their similarity?

Back

If the sides are proportional and the angles are congruent, the figures are similar.

Front

What is the relationship between the scale factor and similar figures?

Back

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

Front

How can you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is a scale factor of 2 in similar figures?

Back

A scale factor of 2 means that each side of the larger figure is twice the length of the corresponding side in the smaller figure.

Front

Can two figures be similar if they have the same shape but different side lengths?

Back

No, two figures cannot be similar if their side lengths are not proportional, even if they have the same shape.

Front

What is the significance of corresponding sides in similar figures?

Back

Corresponding sides in similar figures maintain the same ratio, which is essential for establishing similarity.