The new coordinates are given as;
A' = (-40, 25)
B' = (50, 15)
C' = (5, -25)
D' = (-20, -15)
To find the coordinates of the parallelogram after a dilation with a scale factor of 5, we can simply multiply each original coordinate by 5:
Original coordinates:
A = (-8, 5)
B = (10, 3)
C = (1, -5)
D = (-4, -3)
Dilated coordinates:
A' = (-8× 5, 5 × 5) = (-40, 25)
B' = (10 × 5, 3 × 5) = (50, 15)
C' = (1 × 5, -5 × 5) = (5, -25)
D' = (-4× 5, -3 × 5) = (-20, -15)
Therefore, the dilated parallelogram has its vertices at:
A' = (-40, 25)
B' = (50, 15)
C' = (5, -25)
D' = (-20, -15)