Working with Dilations Topic Index | Geometry Index | Regents Exam Prep Center

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. .

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.

 Topic Index | Geometry Index | Regents Exam Prep Center Created by Donna Roberts