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7.7 Similarity in Right Triangles (Due 5/6/22)

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Essential Question: How can you prove triangles are similar? Learning Target: Students will be able to determine if triangles are similar by creating a proportion comparing the corresponding sides. Complete the entire document and show all work for full credit

Essential Question: How can you prove triangles are similar? Learning Target: Students will be able to determine if triangles are similar by creating a proportion comparing the corresponding sides. Complete the entire document and show all work for full credit

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Day 1 (4/26/22)

Pythagorean Theorem

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Day 3 4/29/22

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Day 4 5/5/22

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Concept Review

Simplifying Radicals

List of the first 25 perfect squares.

Simplifying Radicals

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1.

Describe in your own words; What is a perfect square number?

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2.

When you simplifying a square root and it is not a "perfect square," what do you do?

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3.

What is the largest perfect square factor of 48?

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4.

What is the largest perfect square factor of 63?

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5.

What is the largest perfect square factor of 72?

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6.

What is the largest perfect square factor of 147?

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7.

Simplify this radical. (To simplify this radical, find the square number(s) that are factors).

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8.

Simplify this radical. (To simplify this radical, find the square number(s) that are factors).

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9.

Simplify this radical. (To simplify this radical, find the square number(s) that are factors).

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10.

Fill in the missing steps.

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11.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

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12.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

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13.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

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14.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

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15.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

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16.

Scott is using a 12-foot ramp to help load furniture into the back of a moving truck. If the back of the truck is 3.5 feet from the ground, what is the horizontal distance from where the ramp reaches the ground to the truck?

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17.

A 35-foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 feet from the base of the flagpole, how tall is the flagpole?

Day 2 (4/28/22)

Pythagorean Theorem

Similarity in Right Triangles

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18.

Find the geometric mean between 5 and 20. (Remember to simplify your radical. Do not use decimals)

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19.

Find the geometric mean between 7 and 15. (Remember to simplify your radical. Do not use decimals)

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20.

Find the geometric mean between 3 and 12. (Remember to simplify your radical. Do not use decimals)

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21.

Find the geometric mean between 8 and 13. (Remember to simplify your radical. Do not use decimals)

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22.

Use the diagram to complete each equation.

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23.

Use the diagram to complete each equation.

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24.

Solve for x.

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25.

Solve for x.

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26.

Solve for x.

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27.

Solve for x.

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28.

Solve for x.

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29.

Solve for x.

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30.

Solve for x.

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31.

What Type of Triangle is this?

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32.

Name the angle relationship. Are they congruent or supplementary?

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33.

Name the angle relationship. Are they congruent or supplementary?

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34.

If ∠6 is 28 degrees, how many degrees is ∠7? For help click here.

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35.

If ∠5 is 108 degrees, how many degrees is ∠4? For help click here.

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36.

If ∠8 is 37 degrees, how many degrees is ∠2? For help click here.

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37.

Find the measure of ∠B? For help click here.

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38.
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39.

If ∠5 is 124 degrees, how many degrees is ∠1? For help click here.

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40.
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