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

Last updated 12 months ago
41 questions
Note from the author:
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

Concept Review

Simplifying Radicals

List of the first 25 perfect squares.


Simplifying Radicals




Required
10

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

Required
10

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

Required
5

What is the largest perfect square factor of 48?


Required
5

What is the largest perfect square factor of 63?


Required
5

What is the largest perfect square factor of 72?



Required
5

What is the largest perfect square factor of 147?



Required
10

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

Required
10

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

Required
10

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

Day 1 (4/26/22)


Pythagorean Theorem

Required
10

Fill in the missing steps.

Required
10

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

Required
10

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

Required
10

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

Required
10

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


Required
10

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

Required
10

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?

Required
10

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

Required
5

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

Required
5

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

Required
5

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

Required
5

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

Required
5

Use the diagram to complete each equation.

Required
5

Use the diagram to complete each equation.

Required
10

Solve for x.

Required
10

Solve for x.

Required
10

Solve for x.

Day 3 4/29/22

Required
10

Solve for x.

Required
10

Solve for x.

Required
10

Solve for x.

Required
10

Solve for x.

Day 4 5/5/22

Required
2

What Type of Triangle is this?

Required
2

Name the angle relationship. Are they congruent or supplementary?

Required
2

Name the angle relationship. Are they congruent or supplementary?


Required
5

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

Required
5

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

Required
5

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

Required
5

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

Required
5
Which two angles are the remote interior angles to W? For help click here.


_______
∠_______
5

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

Required
5
Find the measure of all three angles. For help click here.

_______
_______
_______
Required
10
State if the triangles in each pair are similar.
_______

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