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

What does it mean for two figures to be in proportion?

Back

Two figures are in proportion when the ratios of their corresponding sides are equal.

Front

How do you find the height of a smaller similar figure?

Back

To find the height of a smaller similar figure, set up a proportion using the heights and lengths of the original and smaller figures.

Front

If a ramp is 9 ft long and 6 ft high, what is the height of a ramp that is 3 ft long?

Back

2 ft.

Front

What is the relationship between shadows and heights in similar figures?

Back

The lengths of shadows and the heights of objects can be used to set up proportions to find unknown heights.

Front

If Priya's height is 54 inches and her shadow is 36 inches, what is the height of a flagpole with a shadow of 90 inches?

Back

135 inches.

Front

How do you set up a proportion to find the height of a tree using shadows?

Back

Set up the proportion: (Height of streetlight / Length of streetlight's shadow) = (Height of tree / Length of tree's shadow).

Front

What is the height of a tree if a 15-foot tall streetlight casts a shadow of 10 feet and the tree casts a shadow of 30 feet?

Back

60 feet.

Front

How do you calculate the height of a model based on the height of the actual object?

Back

Use the ratio of the lengths to find the corresponding height: (Height of model / Length of model) = (Height of actual object / Length of actual object).

Front

If an actual bridge is 100 ft long and 20 ft high, what is the height of a model that is 25 ft long?

Back

10 ft.