Question

What are the coordinates of the image of the trapezoid after it isdilated with a scale factor of centered at the origin? Input thecoordinates. Then click done.

Answer 1

Dilation centered at the origin with a scale factor of k transforms the point (x, y) into (kx, ky).

Applying this rule to the trapezoid given we get:

Q(0, 0) → (1/2*0, 1/2*0) → Q'(0,0)

R(0, 6) → (1/2*0, 1/2*6) → R'(0, 3)

S(6, 6) → (1/2*6, 1/2*6) → S'(3, 3)

T(8, 0) → (1/2*8, 1/2*0) → T'(4, 0)