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)
.(2 points)
A′=
(
,
)
B′=
(
,
)
C′=
(
,
)

Answer 1

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

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