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 (8, -4) will be the location of vertex W and point (-12, -4) will be the location of point X.

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

Answer 1

I am taking my final exam and I only have 10 minutes left, can anyone please help soon ?!
I posted what I already graphed for PQRS so you can see what it looks like

Answer 2

Are you allowed to get help from other people on your final exam?

Answer 3

Yes. I am not looking for the exact answer, I just need help solving this problem to find the answer.

Answer 4

A function which "blows up" and rotates an object conserves the similarity of the object. Therefore we need such a function f that maps R to W, and S to X.

The "blowing up" is multiplying the original image by some constant. This means each coordinate would be multiplied by a constant. The rotation would be a rotation matrix

(the first picture on this webpage is the rotation matrix) http://en.wikipedia.org/wiki/Rotation_matrix

Now you need only solve for the constant and theta, and you have solved for f.

Answer 5

I appreciate your help but I have no clue what your talking about...If it helps I am only in Geometry.