Question

What are the coordinate of point (-2, 1) after dilating by 1/2 about the center (2, 5)?

Answer 1

The coordinates of the point after dilation is calculated as (0,3) using the given data.

What is the dilation factor?

• The dilation scale factor specifies the change in size of the figure.
• An enlargement is defined as a scale factor x > 1 (more than 1). A reduction is a scale factor of 0 x 1 (higher than 0 but less than 1).
• Formula for finding  coordinates after dilation: [k(x-a)+a, k(y-b)+b]

Where,

(a,b) = Coordinates of centre

(x,y) =  Coordinates of point

k = scale factor

Given:

Coordinates of point(x,y) = (-2,1)

Centre(a,b) = (2,5)

Scale factor(k) = 1/2

Using the formula to find the coordinates,

D(x,y) = [k(x-a)+a, k(y-b)+b]

         =[1/2(-2-2)+2,1/2(5-1)+1]

         =[-2+2,3]

        =(0,3)

Therefore, the coordinates of the point after dilation is calculated as (0,3) using the given data.

Learn more about dilation here:

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