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 (-2, 7) and point D (-10, -1), what is another point that could represent a corner of the trail?

(14, 7)

(10, 7)

(12, 7)

(8, 7)

Question

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 (-2, 7) and point D (-10, -1), what is another point that could represent a corner of the trail?

 (14, 7)

 (10, 7)

 (12, 7)

 (8, 7)

anonymous · Answer

attachment

anonymous · Answer

Does the scaling factor help you? This seems like a problem of vector geometry to me

anonymous · Answer

no

anonymous · Answer

10/7 would be a solution. That is the point B

anonymous · Answer

The only thing I did was comparing the lengths of the sides DA and IF, since they enlarge the Parallelogram, the entire Parallelogram is enlarged/scaled up, meaning that the side FG is enlarged by the same amount as IF

anonymous · Answer

Do you know how to find the distance between two points @Gikundab ?

anonymous · Answer

yes

anonymous · Answer

So you can compare the distance between the original points IF with DA and then find the factor by which it is scaled up, then you can use FG as a representative direction vector to obtain the remaining points of the scaled up Parallelogram.