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

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41 questions
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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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Concept Review

Simplifying Radicals

List of the first 25 perfect squares.


Simplifying Radicals




Required
10
Question 1
1.

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

Required
10
Question 2
2.

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

Question 3
3.

What is the largest perfect square factor of 48?


Question 4
4.

What is the largest perfect square factor of 63?


Question 5
5.

What is the largest perfect square factor of 72?



Question 6
6.

What is the largest perfect square factor of 147?



Question 7
7.

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

Question 8
8.

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

Question 9
9.

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

Day 1 (4/26/22)


Pythagorean Theorem

Question 10
10.

Fill in the missing steps.

Question 11
11.

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

Question 12
12.

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

Question 13
13.

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

Question 14
14.

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


Question 15
15.

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

Question 16
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?

Question 17
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

Question 18
18.

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

Question 19
19.

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

Question 20
20.

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

Question 21
21.

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

Question 22
22.

Use the diagram to complete each equation.

Question 23
23.

Use the diagram to complete each equation.

Question 24
24.

Solve for x.

Question 25
25.

Solve for x.

Question 26
26.

Solve for x.

Day 3 4/29/22

Question 27
27.

Solve for x.

Question 28
28.

Solve for x.

Question 29
29.

Solve for x.

Question 30
30.

Solve for x.

Day 4 5/5/22

Question 31
31.

What Type of Triangle is this?

Question 32
32.

Name the angle relationship. Are they congruent or supplementary?

Question 33
33.

Name the angle relationship. Are they congruent or supplementary?


Question 34
34.

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

Question 35
35.

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

Question 36
36.

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

Question 37
37.

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

Question 38
38.
Which two angles are the remote interior angles to ∠W? For help click here.


∠_______
∠_______
Question 39
39.

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

Question 40
40.
Find the measure of all three angles. For help click here.

_______
_______
_______
Question 41
41.
State if the triangles in each pair are similar.
_______

If so, state how you know they are similar.
_______