Dilations
Similar Polygons
Solving Similar Polygons
Naming Similar Polygons
100

A dilation maps quadrilateral KLMN onto quadrilateral PQRS.  Is the dilation a reduction or an enlargement?

Enlargement

100

Triangle ABC is similar to triangle DEF.  Which angle in triangle DEF is similar to angle C?

Angle F

100

Polygon ABCDEF is similar to polygon LMNOPQ.  What is the measure of angle B?

105 degrees

100

 

Are the two triangles similar?

Yes 

200

A dilation maps quadrilateral ABCD onto quadrilateral WXYZ.  What is the similarity ratio of the dilation?

10

200

Triangle LMN is similar to triangle PQR.  Write each proportion such that the triangles are similar. 

LM/PQ = MN/QR = NL/RP

200

 

Solve for x

x = 12

200

 

Finish the similarity statement:

Triangle ABC ~ ...

ABC ~ DEF

300

These rectangles are the result of an enlargement.  What was the similarity ratio of the dilation? 

3/2

300

Triangle ABC is similar to triangle DEF.  Write each proportion such that the triangles are similar. 

AB/DE = BC/EF = CA/FD

300

 

Solve for the value of x

x = 20

300

 

Finish the similarity statement:

Triangle RST ~ ...

RST ~ DEF

400

A dilation maps triangle YXZ onto triangle ABC.  What is the similarity ratio of the dilation?

3/4

400

Triangle RST is similar to triangle UVW.  Write each proportion such that the triangles are similar.


RS/UV = ST/VW = TR/WU

400

 

Solve for the missing side

12

400

 

Finish the similarity statement:

Triangle ABC ~ ...

ABC ~ ADE

500

A dilation maps quadrilateral EFGH onto quadrilateral ABCD.  What is the similarity ratio for the dilation?

3/2

500

Rectangle ABCD is similar to rectangle EFGH.  Write each proportion such that the rectangles are similar. 

AB/EF = BC/FG = CD/GH = DA/HE

500

 

Solve for y

y = 9

500

 

Finish the similarity statement for the three triangles:

Triangle ABC ~ ...

ABC ~ DEF ~ GHK

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