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Biblioteka

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

Day 1 (4/23/26)

List of the first 25 perfect squares.

Day 2 (4/24/26)

Essential Question: How can we use the properties of similar right triangles to solve real-world problems and make predictions?

Learning Target: By the end of this lesson, students will be able to: Identify and apply the properties of similar right triangles to solve problems involving proportions and side lengths.

Complete the entire document and use full sentences when prompted for full credit.

Responses without work will receive no points.

Remember to upload work from paper when prompted to receive credit.

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Concept Review

Simplifying Radicals

Pythagorean Theorem

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Geometric Mean

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Similarity in Right Triangles

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Pitanje 29
29.

Right Triangle Similarity

(When you have all 3 Sides of a Right Triangle)

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Pitanje 30
30.
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Pitanje 31
31.

Solve for x. (Round your answer to the nearest tenth.)

Right Triangle Similarity:

Altitude and Hypotenuse Theorem

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Pitanje 32
32.

Solve for x. (Round your answer to the nearest tenth.)

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Pitanje 33
33.

Solve for x. (Round your answer to the nearest tenth.)

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Right Triangle Similarity:

Hypotenuse and Leg Theorem

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More Right Triangles

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Pitanje 42
42.
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Pitanje 43
43.
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Learning Log

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Pitanje 47
47.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

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Pitanje 48
48.

Learning Outcomes

How do you find out the hypothenuse of a right triangle?

(Use complete sentences for full credit)

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Pitanje 49
49.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?

Simplifying Radicals

Pitanje 1
1.

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

Pitanje 2
2.

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

Pitanje 3
3.

What is the largest perfect square factor of 48?

Pitanje 4
4.

What is the square root of 48?

Pitanje 5
5.

What is the largest perfect square factor of 63?

Pitanje 6
6.

What is the square root of 63?

Pitanje 7
7.

What is the largest perfect square factor of 72?

Pitanje 8
8.

What is the square root of 72?

Pitanje 9
9.

Fill in the missing steps.

Pitanje 10
10.
Pitanje 11
11.

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

Pitanje 12
12.

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

Pitanje 13
13.

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

Pitanje 14
14.

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

Pitanje 15
15.
Pitanje 16
16.
Pitanje 17
17.
Pitanje 18
18.

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?

Pitanje 19
19.

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?

Pitanje 20
20.
Pitanje 21
21.
Pitanje 22
22.

What was the difference between the pattern from question 20 and question 21?

Pitanje 23
23.
Pitanje 24
24.

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

Pitanje 25
25.

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

Pitanje 26
26.

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

Pitanje 27
27.

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

Pitanje 28
28.

What does the geometric mean find?

Answer using your own words.

Pitanje 34
34.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 35
35.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 36
36.

Use the diagram to complete each equation.

Pitanje 37
37.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 38
38.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 39
39.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 40
40.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 41
41.

Solve for x. (Round your answer to the nearest tenth.)

Pitanje 44
44.
Pitanje 45
45.
Pitanje 46
46.