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.
Complete these Notes covering Ratios.
A ratio is a of quantities.
Ways to represent a ratio: ;;
After cross multiplying this proportion, what is the result?
What is the value of x?
x=
After cross multiplying this proportion, what is the result?
Solve for x
x=
After cross multiplying this proportion, what is the result?
Solve for b
b=
After cross multiplying this proportion, what is the result?
Solve for x.
x=
After cross multiplying this proportion, what is the result?
Solve for x.
x=
Similar Polygons have the same but are different in
Polygons are similar if:
1.
2.
The ratio of corresponding sides is called the
If polygons are similar, then their
Use proportions to find the missing values of the polygons.
x=
y=
To determine what parts of similar shapes are corresponding when given a similarity statement you should:
List all congruent angles if △XYZ~△RYS
Y lines up with
S lines up with
∠Y ≅∠
∠
∠YRS ≅∠
Create a proportion if △XYZ~△RYS
Use a proportion to find the missing values of the triangles.
Use proportions to find the missing values of the polygons.
Solve for x.
x=
Solve for y.
y=
Solve for z.
z=
Draw the triangles separately.
Be sure to label the separate triangles and the lengths of the sides.
Find the length of each segment.
AC=
KB=
AB=
Find the length of each segment.
VN=
MV=
UV=
Find the length of each segment.
RS=
RT=
TV=
Find the length of each segment.
VY=
VW=
VX=
Find the length of each segment.
XY=
XZ=
XV=
Find the length of each segment.
GL=
KL=
HL=
Find the length of each segment.
QS=
SL=
SR=
Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)
Learning Outcomes
What do dilations, scale factors, and similar shapes have in common?
(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?
