A trapezoid is drawn on a grid with vertices at P (-5, 7), Q (-2, 7), R (2, 3), and S (-8, 3). Trapezoid UVWX will be drawn similar to Trapezoid PQRS with side WX corresponding to side RS. The point (1, 6) will be the location of vertex W and point (-4, 6) will be the location of point X.

What will be the coordinates of vertex V? Show all your work or explain your reasoning.

Question

A trapezoid is drawn on a grid with vertices at P (-5, 7), Q (-2, 7), R (2, 3), and S (-8, 3). Trapezoid UVWX will be drawn similar to Trapezoid PQRS with side WX corresponding to side RS. The point (1, 6) will be the location of vertex W and point (-4, 6) will be the location of point X.   
 
What will be the coordinates of vertex V? Show all your work or explain your reasoning.

anonymous · Answer

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anonymous · Answer

V corresponds to point Q.
WX = 5 units long.
RS = 10 units long

So, the new trapezoid is half in scale. So, V must be offset at 1/2 the distances of Q (vertical and horizontal).

anonymous · Answer

thank u again ur a life saver

anonymous · Answer

No problem. For such problems, best to draw the points and reference them.