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

Question

∆MNO∆PQR
M (2, 4)	P (−4, 8)
N (5, 4)	Q (−10, 8)
O (6, 2)	R (−12, 4)

How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid transformations? 

∆MNO was dilated by a scale factor of  from the origin, then rotated 180° clockwise about the origin to form ∆PQR. ∆MNO was dilated by a scale factor of  from the origin, then reflected over the x-axis to form ∆PQR. ∆MNO was dilated by a scale factor of 2 from the origin, then reflected over the y-axis to form ∆PQR. ∆MNO was dilated by a scale factor of 2 from the origin, then translated left 5 units to form ∆PQR.

Answer 1

I have plotted the points (twice) and MNO is not similar to PQR my any transformation/translation.

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