Working with Dilations
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Answer the following questions dealing with dilations and coordinate geometry.

1. Under a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C'(15,0).  What is the scale factor for this dilation?  

Choose one:
2
2.5
4

 
 

   

2.

 

 

Under a dilation of scale factor 3 with the center at the origin, what will be the coordinates of the image of point B?

Choose one:
(6,3)
(2,9)
(5,6)
(6,9)

 
 

 

3.

The graph at the left shows an example of a transformation.  Which transformation is shown?

Choose one:
dilation
translation
reflection in origin 

 
 

 

4.

What is the scale factor of the dilation (with center at the origin) shown at the left?
 

Choose one:
-2
2
1/2
-1/2

 

 

 

5.

What are the coordinates of the image of point B under a dilation with center at the origin of scale factor 1/3?

Choose one:
(-1,-3)
(-1,-1)
(-9,-3)
(-9,-9)

 

 

Grab your graph paper for the following problems.
 

6.

A(2,3), B(2,-1), C(-1,-1)

Graph triangle ABC and its image under D3.

.

Answer

 

 

7.

Rectangle A(1,1), B(4,1), C(4,2), D(1,2) is similar to rectangle A'B'C'D'.  If A'B' = 6, graph a dilation (center origin) of rectangle ABCD showing both rectangles and state the scale factor.

Answer