Dilation and scale factor practice worksheet with two coordinate plane problems.

To solve these dilation problems, we need to multiply the coordinates of each point by the given scale factor.

For Problem 1:
- The original rectangle KLMN has points at:
- K(-4, 4)
- L(4, 4)
- M(4, -4)
- N(-4, -4)
- Scale factor is 2, centered at origin (0,0).
- New coordinates = old coordinates × 2:
- K' = (-4×2, 4×2) = (-8, 8)
- L' = (4×2, 4×2) = (8, 8)
- M' = (4×2, -4×2) = (8, -8)
- N' = (-4×2, -4×2) = (-8, -8)

For Problem 2:
- The original rectangle PQRS has points at:
- P(0, -4)
- Q(6, -4)
- R(6, -8)
- S(0, -8)
- Scale factor is 1/4, centered at origin (0,0).
- New coordinates = old coordinates × 1/4:
- P' = (0×1/4, -4×1/4) = (0, -1)
- Q' = (6×1/4, -4×1/4) = (1.5, -1)
- R' = (6×1/4, -8×1/4) = (1.5, -2)
- S' = (0×1/4, -8×1/4) = (0, -2)

Final Answer:
Problem 1: Plot points K'(-8,8), L'(8,8), M'(8,-8), N'(-8,-8) and connect them to form the dilated rectangle.
Problem 2: Plot points P'(0,-1), Q'(1.5,-1), R'(1.5,-2), S'(0,-2) and connect them to form the dilated rectangle.