Answer:
The vertices of the image are
J' (3.5, 14), K' (21, 14),
L' (21, 3.5), M' (3.5, 3.5) ⇒ D
Explanation:
If the point (x, y) dilated by scale factor k and center the origin, then its image is the point (kx, ky)
In rectangle JKLM
∵ J = (1, 4), k = (6, 4), L = (6, 1) and M = (1, 1)
∵ The rectangle JKLM is dilated by a scale factor of 3.5
→ By using the rule above multiply each coordinate by 3.5
∴ J' = (1 × 3.5, 4 × 3.5) = (3.5, 14)
∴ K' = (6 × 3.5, 4 × 3.5) = (21, 14)
∴ L' = (6 × 3.5, 1 × 3.5) = (21, 3.5)
∴ M' = (1 × 3.5, 1 × 3.5) = (3.5, 3.5)
The vertices of the image are
J' (3.5, 14), K' (21, 14),
L' (21, 3.5), M' (3.5, 3.5)