Dilate the figure by a scale factor of 3.5. What are the verticals of the image?

The vertices of the image are

J' (3.5, 14), K' (21, 14),

L' (21, 3.5), M' (3.5, 3.5) ⇒ D

Step-by-step 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)

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled