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 ratios of their corresponding side lengths are proportional.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of their corresponding side lengths 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 a rectangle has a width of 4 cm and a length of 6 cm, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions of the similar rectangle would be 8 cm wide and 12 cm long.

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 scale factor.

Front

If two triangles are similar and the lengths of their corresponding sides are 3 cm and 6 cm, what is the scale factor?

Back

The scale factor is 1:2.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding sides are equal.

Front

If a garden is 45 ft wide and 70 ft long, what is the length on a blueprint if the width is represented as 9 in?

Back

The length on the blueprint is 14 in.

Front

What is a proportion in mathematics?

Back

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

Front

If two parallelograms are similar and one has a base of 20 in and a height of 10 in, what is the area of the other if its base is 40 in?

Back

The area of the other parallelogram is 80 in².