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Before you take your graded quiz, try the practice activity below.

There are three boys and five girls on the t-ball team. Which of the following is a correct way of writing the ratio of boys to girls.

  1. \(\mathsf{ \frac{5}{3} }\)
  2. 5:3
  3. 3:5
  4. \(\mathsf{ \frac{1}{3} }\)

Since there are three boys for every five girls, you can write the ratio 3:5 in odds notation. You could also have written this as the fraction \(\mathsf{ \frac{3}{5} }\).

Since there are three boys for every five girls, you can write the ratio 3:5 in odds notation. You could also have written this as the fraction \(\mathsf{ \frac{3}{5} }\).

Since there are three boys for every five girls, you can write the ratio 3:5 in odds notation. You could also have written this as the fraction \(\mathsf{ \frac{3}{5} }\).

Since there are three boys for every five girls, you can write the ratio 3:5 in odds notation. You could also have written this as the fraction \(\mathsf{ \frac{3}{5} }\).

The following two rectangles are similar, true or false?

two rectangles

  1. true
  2. false

The proportion of corresponding sides, \(\mathsf{ \frac{8}{4} = \frac{12}{6} }\), is true, therefore these rectangles are similar.

The proportion of corresponding sides, \(\mathsf{ \frac{8}{4} = \frac{12}{6} }\), is true, therefore these rectangles are similar.

The following two triangles are similar, true or false?

two triangles

  1. true
  2. false

These two triangles are not similar. The corresponding sides are not in proportion to each other since \(\mathsf{ \frac{1}{4} \neq \frac{4}{10} }\).

These two triangles are not similar. The corresponding sides are not in proportion to each other since \(\mathsf{ \frac{1}{4} \neq \frac{4}{10} }\).

Triangle ABC is similar to triangle XYZ. Find the missing side x.

two triangles

  1. 6
  2. 9.5
  3. 13
  4. 15.6

Since these two triangles are similar you can write the following proportion and then solve for x.

\(\mathsf{ \frac{14.4}{12} = \frac{x}{13} }\)

14.4(13) = 12(x)

x = 15.6

Since these two triangles are similar you can write the following proportion and then solve for x.

\(\mathsf{ \frac{14.4}{12} = \frac{x}{13} }\)

14.4(13) = 12(x)

x = 15.6

Since these two triangles are similar you can write the following proportion and then solve for x.

\(\mathsf{ \frac{14.4}{12} = \frac{x}{13} }\)

14.4(13) = 12(x)

x = 15.6

Since these two triangles are similar you can write the following proportion and then solve for x.

\(\mathsf{ \frac{14.4}{12} = \frac{x}{13} }\)

14.4(13) = 12(x)

x = 15.6

Triangle ABC is similar to triangle XYZ. Find the missing side y.

two triangles

  1. 6
  2. 9.5
  3. 13
  4. 15.6

Since these two triangles are similar, you can write the following proportion and then solve for y.

\(\mathsf{ \frac{14.4}{12} = \frac{y}{5} }\)

14.4(5) = 12(y)

y = 6

Since these two triangles are similar, you can write the following proportion and then solve for y.

\(\mathsf{ \frac{14.4}{12} = \frac{y}{5} }\)

14.4(5) = 12(y)

y = 6

Since these two triangles are similar, you can write the following proportion and then solve for y.

\(\mathsf{ \frac{14.4}{12} = \frac{y}{5} }\)

14.4(5) = 12(y)

y = 6

Since these two triangles are similar, you can write the following proportion and then solve for y.

\(\mathsf{ \frac{14.4}{12} = \frac{y}{5} }\)

14.4(5) = 12(y)

y = 6

Find the height of the tree, assuming the two triangles are similar.

finding height of a tree

  1. 10 m
  2. 20 m
  3. 30 m
  4. 40 m

Since the lines create two similar triangles you can write the following proportion.

\(\mathsf{ \frac{x}{2} = \frac{30}{3} }\)

3x = 60

x = 20 m

Since the lines create two similar triangles you can write the following proportion.

\(\mathsf{ \frac{x}{2} = \frac{30}{3} }\)

3x = 60

x = 20 m

Since the lines create two similar triangles you can write the following proportion.

\(\mathsf{ \frac{x}{2} = \frac{30}{3} }\)

3x = 60

x = 20 m

Since the lines create two similar triangles you can write the following proportion.

\(\mathsf{ \frac{x}{2} = \frac{30}{3} }\)

3x = 60

x = 20 m

Summary

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