Question

Segment J K has coordinates J begin ordered pair 3 comma negative 6 end ordered pair and K begin ordered pair negative 3 comma 2 end ordered pair. When segment J K is dilated with a scale factor negative 4, what are the coordinates of J prime and K prime?

Answer 1

We write the coordinates of J and K:
J = (3, -6)
K = (- 3, 2)
The coordinates of J and K applying a scale factor k = -4 will be:
J '= k * (3, -6) = - 4 * (3, -6)
K '= k * (- 3, 2) = - 4 * (- 3, 2)
Rewriting:
J '= (- 4 * 3, -4 * (- 6)) = (-12, 24)
K '= (- 4 * (- 3), -4 * 2) = (12, -8)
Answer:
The coordinates of J prime and K prime are:
J '= (-12, 24)
K '= (12, -8)