Similar Figures and Scale Drawing

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

What is a scale drawing?

Back

A scale drawing is a representation of an object that is proportional to the actual size of the object. It uses a specific ratio to show the dimensions of the object.

Front

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

Back

The corresponding angles of similar figures are equal.

Front

If the width of a photograph is enlarged from 8 inches to 16 inches, what is the scale factor?

Back

The scale factor is 2, since 16 inches is twice the original width of 8 inches.

Front

How do you find the length of a similar figure if you know the width and the scale factor?

Back

Multiply the original length by the scale factor to find the length of the similar figure.

Front

What is the ratio of the sides of two similar rectangles if one has a length of 12 inches and a width of 8 inches, and the other has a length of 24 inches?

Back

The ratio of the sides is 1:2.

Front

What is the formula to calculate the diagonal of a rectangle?

Back

Front

If a scale drawing has a length of 37 inches and a width to length ratio of 3:4, what is the width?

Back

The width is 27.75 inches.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if their corresponding sides are in the same ratio.

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.