Unit 7 Review #1

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

If ABCDE ∼ GHJDF, what can we conclude about the angles?

Back

If two figures are similar, then corresponding angles are congruent. Therefore, ∠B is congruent to ∠H.

Front

What is a Ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find the length of a side in similar figures?

Back

To find the length of a side in similar figures, use the ratio of the lengths of corresponding sides from the two figures.

Front

If the ratio of red apples to green apples is 4:3, how many red apples are there if there are 12 green apples?

Back

If the ratio is 4:3, then for every 3 green apples, there are 4 red apples. If there are 12 green apples, then there are (12 green apples * 4 red apples) / 3 green apples = 16 red apples.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 10 cm, what is the length of side DE if the ratio of similarity is 2:1?

Back

If the ratio of similarity is 2:1, then side DE = AB / 2 = 10 cm / 2 = 5 cm.

Front

What is the formula for finding the ratio of two numbers?

Back

The ratio of two numbers a and b is given by a:b or a/b.

Front

If two angles are complementary, what is their sum?

Back

The sum of two complementary angles is 90 degrees.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.