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 has vertices A (2,4) and B (4,6)

Triangle is dilated by a factor of 3, what are the new coordinates?

(6,12)   (12,24)

100

What changes when a figure is dilated?

the size

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 ABC has vertices A (2,4) and B (4,6)

Triangle is dilated by a factor of 5, what are the new coordinates?

(10,20)    (20,30)

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 has vertices A (2,4) and B (4,6)

Triangle is dilated by a factor of 1/2, what are the new coordinates?

(1,2)   (2,3)

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 ABC has vertices A (2,4) and B (4,6)

Triangle is dilated by a factor of 1/4, what are the new coordinates?


(1/2, 1)    (1, 3/2)

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

Triangle ABC has vertices A (2,4) and B (4,6)

Triangle is dilated by a factor of 1/7, would the image be an enlargement or reduction?

reduction

500

 

Solve for y

y = 9

500

 

Finish the similarity statement for the three triangles:

Triangle ABC ~ ...

ABC ~ DEF ~ GHK

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