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

Last updated 2 months ago

49 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

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

Akwankyerɛ

Day 1 (4/23/26)

List of the first 25 perfect squares.

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Day 2 (4/24/26)

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

Last updated 2 months ago

49 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Akwankyerɛ

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.

Day 1 (4/23/26)

List of the first 25 perfect squares.

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Concept Review

Simplifying Radicals

Pythagorean Theorem

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Geometric Mean

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Day 2 (4/24/26)

Similarity in Right Triangles

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Use the diagram to complete each equation.

Complete the proportion.

Cross multiply and complete this equation.

e²=

Solve for the altitude e

Right Triangle Similarity

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

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

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

Right Triangle Similarity:

Altitude and Hypotenuse Theorem

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

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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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Find the values of x, y, and z

(Round your answer to the nearest tenth.)

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Learning Log

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Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

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Learning Outcomes
How do you find out the hypothenuse of a right triangle?
(Use complete sentences for full credit)

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

Day 1 (4/23/26)

List of the first 25 perfect squares.

Day 2 (4/24/26)

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

Day 1 (4/23/26)

List of the first 25 perfect squares.

Concept Review

Pythagorean Theorem

Geometric Mean

Day 2 (4/24/26)

Similarity in Right Triangles

Right Triangle Similarity

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

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

Right Triangle Similarity:

Altitude and Hypotenuse Theorem

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

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

Right Triangle Similarity:

Hypotenuse and Leg Theorem

More Right Triangles

Learning Log

Essential Question:What was the Essential Question of this assignment?(Use complete sentences for full credit)

Learning OutcomesHow do you find out the hypothenuse of a right triangle?(Use complete sentences for full credit)

1 Question I have.1 question I have is...(Must be a question)ORWhat was the hardest part of the assignment?

Simplifying Radicals

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

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

What is the largest perfect square factor of 48?

What is the square root of 48?

What is the largest perfect square factor of 63?

What is the square root of 63?

What is the largest perfect square factor of 72?

What is the square root of 72?

Concept Review

Pythagorean Theorem

Fill in the missing steps.

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

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

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

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

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?

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?

Geometric Mean

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

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

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

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

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

What does the geometric mean find?Answer using your own words.

Similarity in Right Triangles

Right Triangle Similarity

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

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

Right Triangle Similarity:

Altitude and Hypotenuse Theorem

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

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

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

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

Right Triangle Similarity:

Hypotenuse and Leg Theorem

Use the diagram to complete each equation.

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

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

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

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

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

More Right Triangles

Learning Log

Essential Question:What was the Essential Question of this assignment?(Use complete sentences for full credit)

Learning OutcomesHow do you find out the hypothenuse of a right triangle?(Use complete sentences for full credit)

1 Question I have.1 question I have is...(Must be a question)ORWhat was the hardest part of the assignment?

Simplifying Radicals

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

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

What is the largest perfect square factor of 48?

What is the square root of 48?

What is the largest perfect square factor of 63?

Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

Learning Outcomes
How do you find out the hypothenuse of a right triangle?
(Use complete sentences for full credit)

1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?

What does the geometric mean find?
Answer using your own words.

Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

Learning Outcomes
How do you find out the hypothenuse of a right triangle?
(Use complete sentences for full credit)

1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?

What does the geometric mean find?
Answer using your own words.