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Laabri

4/1/2021-Unit 5 Test

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1.

RATIO / PROPORTION:

Solve for x.

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2.

RATIO / PROPORTION:

Solve for x.

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3.

RATIO / PROPORTION:

Monique randomly surveyed 20 students from her class and found that 14 like peanut butter cookies. If there are 140 students in Monique's school, predict the total number of students who like peanut butter cookies.

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4.

PROPORTION:

Set up a proportion and solve for x. Round to the nearest whole number.

*Hint, look at the name to help determine corresponding sides and set up a proportion.

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5.

PROPORTION:

Find the value of x.

*hint, look at the name. carefully identify corresponding sides and set up your proportion.

round to the nearest tenths place

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6.

PROPORTION:

Fill in the blank.

*Hint,

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7.

PROPORTION:

Set up a proportion to solve for x. Then determine the length of segment BC. Write your answer in __, __ form where x is the first value and the length of BC is the second.

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8.

RATIO / PROPORTION:

What is the length of segment JK?

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9.

PROPORTION: Set up a proportion to solve for the value of x.

*Hint, round to the nearest tenth.

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10.

PROPORTION: CORRESPONDING SIDES

*Hint, order matters.

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11.

PROPORTION:

The following two triangles are similiar. Write a proportion and solve for x.

*Hint, remember to separate the two triangles and re-label the sides.

round to the tenths place

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12.

PROPORTION:

Set up a proportion to solve for the value of x.

*Hint, separate the triangles first.

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13.

RATIO:

These two triangles are similar. What is the scale factor (RATIO) of the large to the small triangle?

*Hint, simplify your fraction.

EFD ~ ACB

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14.

TRIANGLE SUM THEROEM:

If △ABC ~ △DEF, what is the m∠A?

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15.

POSTULATES:

Which triangle similiarity postulate proves these similar?

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16.

POSTULATES:

Which triangle similiarity postulate proves these similar?

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17.

POSTULATES:

Are the following similar? If so, by which postulate?

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18.

APPLICATIONS:

A shadow of a tree is 6 ft long at the same time Linda is standing outside. Linda is 5.5 ft tall and her shadow is 2 ft long. How tall is the tree?

1. Draw a picture

2. Set up a proportion.

3. Solve for the height of the tree.

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19.

APPLICATIONS:

*Hint, set up a proportion and solve for d. Make sure to set up corresponding sides!

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20.

APPLICATIONS:

What is the height of the dinosaur?

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21.

BONUS - DISTANCE FORMULA:

Find the distance between P (0,-1) and Point Q (2, -7). Round your answer to the nearest tenth place if necessary.

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22.

BONUS - TRIANGLE INEQUALITIES:

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23.

BONUS - ALTITUDE:

Find x. (Hint, since BD is the altitutde, it creates a right angle.)

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24.

BONUS - ANGLE RELATIONSHIPS

∠8 and ∠15

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25.

upload your pages of work here--page 1

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26.

upload your pages of work here--page 2

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27.

upload your pages of work here--page 3

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28.

upload your pages of work here--page 4