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 the lengths of their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

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. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If two similar triangles have a scale factor of 2:3, what does this mean?

Back

This means that for every 2 units in one triangle, there are 3 units in the other triangle. The second triangle is larger.

Front

How do you find the missing side of a similar figure?

Back

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

Front

If Triangle A has sides of 4 cm, 6 cm, and 8 cm, and Triangle B is similar with the shortest side of 6 cm, what is the length of the longest side of Triangle B?

Back

The longest side of Triangle B is 12 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 side lengths.

Front

If the side lengths of two similar rectangles are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

Front

What is a proportion?

Back

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

Front

If 3/4 of a side of a similar figure is 12 cm, what is the length of the full side?

Back

The full side length is 16 cm.