Similar Figures in the Real World

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 proportional?

Back

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

Front

Define corresponding sides in similar figures.

Back

Corresponding sides are the sides of two or more similar figures that are in the same relative position.

Front

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

Back

If two triangles are similar, their corresponding angles 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

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 sides.

Front

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

Back

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

Front

How can you use proportions to solve problems involving similar figures?

Back

You can set up a proportion using the lengths of corresponding sides to find unknown lengths.

Front

What is the formula for finding the actual distance using a map scale?

Back

Front

If Joe runs 2 miles in 20 minutes, how long will it take him to run 5 miles?

Back

It will take Joe 50 minutes to run 5 miles.