Log in
Sign up for FREE
arrow_back
Library

7.4 Similar Polygons w/equations (Due 4/12/22)

star
star
star
star
star
Last updated 17 days ago
19 questions
Note from the author:
Required
1
Required
1
Required
10
Required
10
Required
5
Required
5
Required
5
Required
16
Required
10
Required
16
Required
10
Required
10
Required
10
Required
10
Required
10
Required
10
Essential Question: If you know two figures are similar, what can you determine about
measures of corresponding angles and lengths Learning Target: Students will be able to construct proportions from similar polygons and use them to determine the measures of the corresponding angles and side lengths of those polygons. Complete the entire document and show all work for credit.
Essential Question: If you know two figures are similar, what can you determine about
measures of corresponding angles and lengths Learning Target: Students will be able to construct proportions from similar polygons and use them to determine the measures of the corresponding angles and side lengths of those polygons. Complete the entire document and show all work for credit.

Essential Question: How can we use ratios and proportions to identify similar polygons and determine their missing side lengths?

Learning Target: Students will be able to identify the properties of similar polygons and apply proportional reasoning to solve for unknown measures in similar figures.


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.


Concept Review

Question 1
1.

What is the name of the relationship between angle 5 and angle 7?

Question 2
2.

What is the relationship between angle 2 and angle 6?

Question 3
3.

Select all the vertical angles to ∠6

Question 4
4.

Select all the adjacent angles to ∠1

Question 5
5.

Select all the angles that are alternate exterior angles to ∠1

Question 6
6.

What is the value of x?

Question 7
7.

What is the value of z?

Similar Polygons

Question 8
8.

What is the correct order of steps to solve this similarity problem?

If △DEF ~ △HJG; find x


  1. Replace the all the sides with numbers:
  2. x=20
  3. Cross multiply to make the equation:
  4. Simplify the equation to
Question 9
9.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △DEF ~ △HJG; find x

Question 10
10.

What is the correct order of steps to solve this similarity problem?

If △QRS ~ △TUV; find x


  1. UT is the side that has to be in the proportion created because it contains x, so create a proportion with UT using corresponding sides from each triangle:
  2. x=11
  3. Replace the all the sides with numbers:
Question 11
11.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △QRS ~ △TUV; find x

Question 12
12.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △AGM ~ △KXD; find x

Question 13
13.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △TLY ~ △CHK; find x

Question 14
14.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △BCD ~ △FGE; find FE

Question 15
15.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △MNP ~ △QRP; find x

Question 16
16.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If ▱KLMN ~ ▱PQRS; find x

Learning Log

Required
5
Question 17
17.

Required
5
Question 18
18.

Required
10
Question 19
19.

Divide both sides of the equation by 9:
JG is the side that has to be in the proportion created because it contains x, so create a proportion using corresponding sides from each triangle:
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
Subtract 270 from both sides of the equation:

Simplify the equation to
Divide both side of the equation by 54:
Cross multiply to make the equation:
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon: