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 scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If a blueprint has a scale of 1 inch to 7 feet, how do you convert actual measurements to the drawing?

Back

To convert actual measurements to the drawing, divide the actual measurement by the scale factor (7 feet) to find the measurement in inches.

Front

What is the scale factor if a desk is 30 inches long and a similar desk is 50 inches long?

Back

The scale factor is 50 inches / 30 inches = 5/3 or approximately 1.67.

Front

If two similar triangles have sides of lengths 3 cm and 6 cm, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides: (3/6)² = 1/4.

Front

How do you determine the actual distance using a map scale?

Back

Multiply the distance on the map by the scale factor to find the actual distance.

Front

What is the missing side of similar figures if one side is 4 cm and the corresponding side is 8 cm?

Back

The missing side is 8 cm, as the figures are similar and the sides are in proportion.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is the scale factor if a similar rectangle has a length of 20 cm?

Back

The scale factor is 20 cm / 10 cm = 2.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.