Question

Triangle ABC
has vertices point A(2,1)
, point B(4,3)
, and point C(−2,5)
. Find the coordinates of A′
, B′
, and C′
after a dilation with a scale factor of 7 and a center point of dilation at the origin (0,0)

Answer 1

A dilation from the origin with scale factor 7 multiplies each coordinate by 7. So

- A' = (7·2, 7·1) = (14, 7)
- B' = (7·4, 7·3) = (28, 21)
- C' = (7·(−2), 7·5) = (−14, 35)