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7.3 Similar Polygons (Due 4/7/22)

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26 questions
Note from the author:
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Essential Question: What are similar polygons? Learning Target: Students will be able to construct proportions and use them to determine if polygons are similar. Complete the entire document and show all work for credit.
Essential Question: What are similar polygons? Learning Target: Students will be able to construct proportions and use them to determine if polygons are similar. 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 assignment and show work for full credit.

Responses with no work shown will receive no credit.

When answering question that require writing, use complete sentences that are in your own words.

Concept Review: What are proportions?

Question 1
1.
Complete these Notes covering Ratios.


A ratio is a __________ of __________ quantities.

Ways to represent a ratio: __________;__________;__________
Question 2
2.
After cross multiplying this proportion, what is the result?
_______ =_______

What is the value of x?
x=_______
Question 3
3.
After cross multiplying this proportion, what is the result?

_______= _______

Solve for x
x=_______
Question 4
4.
After cross multiplying this proportion, what is the result?
_______ =_______

Solve for b
b=_______
Question 5
5.
After cross multiplying this proportion, what is the result?

Solve for x.
x=_______
Question 6
6.
After cross multiplying this proportion, what is the result?

Solve for x.
x=_______ or_______

Similar Polygons

Question 7
7.
Similar Polygons have the same __________ but are different in __________
Question 8
8.
Polygons are similar if:

1. _______

2. _______
Question 9
9.
The ratio of corresponding sides is called the _______ .

If polygons are similar, then their _______ are also proportional.
Question 10
10.
Use proportions to find the missing values of the polygons.

x=_______
y=_______
Question 11
11.

To determine what parts of similar shapes are corresponding when given a similarity statement you should:

Question 12
12.
List all congruent angles if △XYZ~△RYS


Y lines up with_______
_______ lines up with R
S lines up with _______

∠Y ≅∠_______
∠_______ ≅ ∠YZX
∠YRS ≅∠_______
Question 13
13.
Create a proportion if △XYZ~△RYS



_______ =_______
Question 14
14.

Use a proportion to find the missing values of the triangles.

Question 15
15.
Use proportions to find the missing values of the polygons.

Solve for x.
x=_______

Solve for y.
y=_______

Solve for z.
z=_______
Question 16
16.

Draw the triangles separately.


Be sure to label the separate triangles and the lengths of the sides.

Question 17
17.
Find the length of each segment.

AC=_______
KB=_______
AB=_______
Question 18
18.
Find the length of each segment.


VN=_______
MV=_______
UV=_______
Question 19
19.
Find the length of each segment.

RS=_______
RT=_______
TV=_______
Question 20
20.
Find the length of each segment.


VY=_______
VW=_______
VX=_______
Question 21
21.
Find the length of each segment.


XY=_______
XZ=_______
XV=_______
Question 22
22.
Find the length of each segment.

GL=_______
KL=_______
HL=_______
Question 23
23.
Find the length of each segment.


QS=_______
SL=_______
SR=_______

Learning Log

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5
Question 24
24.

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5
Question 25
25.

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Question 26
26.