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 equal, and their corresponding sides are in proportion.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar figures are in the ratio 2:3, what does this mean?

Back

This means that for every 2 units of length in one figure, there are 3 units of length in the other figure.

Front

What is 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, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 1:2.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

If two figures are similar and one side of the first figure is 10 cm, and the corresponding side of the second figure is 15 cm, what is the ratio of their areas?

Back

The ratio of their areas is (10^2):(15^2) = 1:2.25.

Front

What does it mean if two figures are congruent?

Back

Congruent figures are shapes that are the same size and shape, meaning all corresponding sides and angles are equal.

Front

If the lengths of two similar rectangles are in the ratio 3:5, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 3:5.

Front

What is the relationship between the ratios of the sides and the ratios of the areas of similar figures?

Back

The ratio of the areas of similar figures is the square of the ratio of their corresponding sides.