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 UV corresponding to side PQ. The point (2, -2) will be the location of vertex U and point (8, -2) will be the location of point V.

What will be the coordinates of vertex X? 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 UV corresponding to side PQ. The point (2, -2) will be the location of vertex U and point (8, -2) will be the location of point V.  
 
What will be the coordinates of vertex X? Show all your work or explain your reasoning.

anonymous · Answer

PLEASE ANSWER

anonymous · Answer

zax97, I think the key here is the word "similar" Have you learned about the distance formula? find the length of uv and the length of pq. Comparing the two will give you the "scale factor" between the two trapezoids. We can then use that fact to find the location of point v. Make sure to graph them also. Get back to me(us) when you've done this much and we'll see if you can make any headway.

anonymous · Answer

Here is a sketch of what is going on. Can you come up with the coordinates of vertex x from the sketch?

anonymous · Answer

transendential has mor or less done this for you - all you have to do is read off  the coordinates of  X

anonymous · Answer

I believe this can be solved with matricies