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)
A ′ = ( )
B ′ = ( )
C ′ = ( )
To 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), we simply need to multiply the x-coordinate and the y-coordinate of each point by 7.
1) A' = (7*2, 7*1) = (14, 7)
2) B' = (7*4, 7*3) = (28, 21)
3) C' = (7*(-2), 7*5) = (-14, 35)
Therefore, the coordinates of A', B', and C' after the dilation are:
A' = (14, 7)
B' = (28, 21)
C' = (-14, 35)