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 think it is v (11,-2) , but im not sure.

Answer 2

@jim_thompson5910 please help

Answer 3

@Mertsj please help

Answer 4

Did you draw the graph? because that's what I have to do to solve this.

Answer 5

nope

Answer 6

it says the trap. has to be similar and the given one has a slope of 4/3 so the one i created has a slope of 2/1. Would that be considered similar?

Answer 7

I got(0,4) for V

Answer 8

To get from R to Q I had to go up 4 and left 4 so to get from W to V I need to go up 4 and left 4 twice. So if W is (8,-4) and I go up 4 twice, I will be at 4 for y. If I go left 4 twice, I will be at 0 for x .

Answer 9

does that make them similar?

Answer 10

would the other point be at -6,4 ?

Answer 11

If the slopes of the sides are the same and the corresponding sides have the same ratio, then they are similar.

Answer 12

Yes the Point U is (-6,4)

Answer 13

Thank you!

Answer 14

yw