Question

What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?

Answer 1

9514 1404 393

Answer:

T'(4, 1)

Explanation:

The dilation transformation around a center not the origin is ...

T' = k(T -R) +R . . . . for dilation factor k and center R

This can be simplified to ...

T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2

Using the given point values, we find the image point to be ...

T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)

The image point is T'(4, 1).