The vertices of ∆MNO and ∆PQR are described in the table.


∆MNO ∆PQR
M (3, 9) P (−1, −3)
N (9, 9) Q (−3, −3)
O (12, 3) R (−4, −1)


How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid transformations?
∆MNO was dilated by a scale factor of 3 from the origin, then rotated 90° clockwise about the origin to form ∆PQR.
∆MNO was dilated by a scale factor of 3 from the origin, then translated down 2 and left 5 units to form ∆PQR.
∆MNO was dilated by a scale factor of one third from the origin, then reflected over the x-axis to form ∆PQR.
∆MNO was dilated by a scale factor of one third from the origin, then rotated 180 degree clockwise about the origin to form ∆PQR.