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 proportional.

Front

What does it mean for sides to be proportional in similar figures?

Back

In similar figures, the lengths of corresponding sides are in the same ratio. For example, if one side of a triangle is twice as long as the corresponding side of another triangle, all sides of the first triangle will be twice as long as the corresponding sides of the second triangle.

Front

Are two shapes that are similar also congruent?

Back

False. Similar shapes have the same shape but can be different sizes, while congruent shapes are identical in both shape and size.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you find a missing side in similar figures?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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 ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If the scale factor of two similar figures is 3:1, and the length of a side in the smaller figure is 5 cm, what is the length of the corresponding side in the larger figure?

Back

The length of the corresponding side in the larger figure is 15 cm.

Front

What is the relationship between the areas of two similar figures?

Back

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