Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park: In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A (0, 4) and point D (-6, -5), what is another point that could represent a corner of the trail?

Question

anonymous · Answer

http://gyazo.com/8b011e4b8f8a541fb7d15e77b724b842

perl · Answer

are A and D opposite corners ?

anonymous · Answer

A. (-2, -6) 
B. (6, -5)
C. (11, 4)
D. (-17, 5)

anonymous · Answer

I don't know, tbh. I need help with this. @perl

bibby · Answer

since they're parallelograms and A corresponds with F and D corresponds with I, I think we can use narrow our choices down to b or c because they have the same y coordinates as A and B

bibby · Answer

also, the new parallelogram is scaled by a factor of 3.
the lengths of the original are 4. 4*3 = 12.

so  point B would be at (0+12,4) = (12,4)
and point C would be at (-6+12,-5) = (6,-5)