Find the coordinates of A' and D if ABCDE∼A′B′C′D′E′, the center of dilation is F (-6,1), and the scale factor is 3. .

A (2,2), B (-2,2), C (-3,4), E (2,5), B' (6,4), C' (3,10), D' (9,19), and E' (18,13).

i really need help on this, thank you

1 answer

the dilated points will be 3 times the distance from F as the original points
... the direction is along the line from F to the point being dilated

A' is 3 times farther from F than A , along the FA line

D is 1/3 the distance from F to D' , along the FD' line

F to A is ... 8 in x and 1 in y ... so F to A' is 3*8 in x and 3*1 in y
... A is [(24 - 6),(3 + 1)]

use the same technique for D