Answer:
Option B is correct i.e., M'(-6,9) and N'(3,9).
Step-by-step explanation:
Given: ΔMNP mapped in graph ⇒ coordinates of vertices are M(-4,6), N(2,6) & P(-1,1) and scale factor of dilation is 1.5 .i.e., 1.5(x,y) ⇒ (1.5x,1.5y)
ΔMNP dilated to ΔM'N'P'
To Find: Coordinates of M' &N'
since, scale factor of dilation is 1.5.
we get coordinates of M' by multiplying coordinates of M
⇒1.5 M(-4,6) = M'(1.5×(-4), 1.5×6)
=M' (-6,9)
similalrly coordinates of N' by multiplying coordinates of N
⇒1.5 N(2,6) = N'(1.5×2, 1.5×6)
=N' (3,9)
The coordinates of the endpoints of segment M'N' is M'(-6,9) and N'(3,9)
∴Option B is correct.