Answer:
The coordinates of A(8, 6), B(4, 6), C(8, −4), and D(4, −4) after dilating from the origin by a scale factor of 1.5 will be: A'(12, 9), B'(6, 9), C'(12, -6), D'(6, -6)
Step-by-step explanation:
When we dilate a figure from the origin by a scale factor of 1.5, it means we will multiply the coordinates of the original figure with 1.5.
- As the scale factor is 1.5 which is > 1, therefore the image will be enlarged.
so
As the rectangle has vertices A(8, 6), B(4, 6), C(8, −4), and D(4, −4)
The coordinates after dilating from the origin by a scale factor of 1.5 will be:
P(x, y) → P' (1.5x, 1.5y)
A(8, 6) → A'(8×1.5, 6×1.5) = A'(12, 9)
B(4, 6) → B'(4×1.5, 6×1.5) = B'(6, 9)
C(8, -4) → C'(8×1.5, -4×1.5) = C'(12, -6)
D(4, -4) → D'(4×1.5, -4×1.5) = D'(6, -6)
Therefore, the coordinates of A(8, 6), B(4, 6), C(8, −4), and D(4, −4) after dilating from the origin by a scale factor of 1.5 will be: A'(12, 9), B'(6, 9), C'(12, -6), D'(6, -6)
