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

If two triangles are similar, how do you find a missing side length?

Back

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

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.

Front

How do you calculate the perimeter of a similar figure?

Back

To calculate the perimeter of a similar figure, multiply the perimeter of the original figure by the scale factor.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6 cm, 8 cm, and 10 cm.

Front

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

Back

The heights of two similar figures are in the same ratio as their corresponding sides.

Front

If a 5 ft tall woman casts an 8 ft shadow, what is the height of a statue that casts a 16 ft shadow?

Back

The statue is 10 feet tall.

Front

How do you find the length represented by a scale on a map?

Back

To find the length represented by a scale on a map, use the ratio given by the scale to convert the actual distance to the map distance.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.