Ratios and Similar Polygons

An equation stating two ratios are equal is called a (a)   .

(a)   polygons have the same shape and the same size.

The triangles shown are similar. What is the scale factor?

Answer explanation

Possible Answers:

2

1/2

0.5

50%

Skylar bought 23 chicken wings for $32.20. How much would it cost for 13 wings?

• $18.20

• $22.20

• $9.29

• $35.23

Answer explanation

Skylar bought 23 chicken wings for $32.20.

So each wing costs $1.40, meaning 13 wings cost $18.20.

Draw two polygons that are not similar.

Answer explanation

Non-Similar Polygons are not the same shape. They my have angles that are not congruent or they may have sides that are not proportional.

In a triangle, the ratio of the measure of the sides is 2:2:3 and the perimeter is 392 inches. Find the length of the longest side of the triangle.

• 56 inches

• 84 inches

• 168 inches

• 112 inches

A baseball player's batting average is the ratio of the number of base hits to the number of at-bats, not including walks.

Minnesota Twins' Joe Mauer had the highest batting average in Major League Baseball in 2006. If he had 521 official at-bats and 181 hits, find his batting average.

Answer explanation

Batting average = ratio of number of hits to the number of at-bats.

So, divide the number of hits (181) by the number of at-bats (521).

Draw two polygons that are similar.

Answer explanation

Similar Polygons are the same shape.

Corresponding angles are congruent and side lengths are proportional.

The triangles shown are similar. What is the scale factor?

Answer explanation

Possible answers:

69/18 = 23/6 = ~3.8333

18/69 = 6/23 = ~0.2609