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 PQ corresponding to side UV. The point (-2, -1) will be the location of vertex U and point (7, -1) will be the location of point V.

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

Answer 1

we did this a few weeks ago with another person ....

Answer 2

i remember cause I found the wrong vertex after hours of hard laborious mathing

Answer 3

pq/uv is a constant ration of the sides once we determine that ratio we can find any other vertex

Answer 4

also, we need to note if the slope for p to q is the same as u to v

Answer 5

a Moderator answering questions :O

Answer 6

It is easy
Find the angle between sides PQ and QR
this is equal to angle b/w UV and VW
Implying you can find slope of VW

Answer 7

they have the same slope; since they have the same "y" parts yay1

Answer 8

Dontf, it be useful if you participate

Answer 9

Im think but my brains hurts

Answer 10

mine too :)

Answer 11

P(-5, 7), Q(-2, 7)

U(-2, -1) V(7, -1)

notice they they are vertical, parallel to the y axis; the distance between them is just how far they move

-5 to -2 moves 3 units

-2 to 7 moves 9 units

UV is 3times as large as PQ then

Answer 12

so this same ratio is constant for all the sides

Answer 13

and the height!

Answer 14

PS = UX

whats the distance from P to S?

Answer 15

distance and direction is easy to find; end - begining

end at S and begin at P so

S(-8, 3)
- P(-5, 7)
-----------
-3,-4

this is the distance from U to X as well; we just need to scale it by a factor of 3

3(-3,-4) = -9,-12

Answer 16

U(-2,-1)
-9 -12
--------
X(-11,-13)


maybe?

Answer 17

Maybe? That seems right to me!

Answer 18

as long as i didnt make any typos and basic mistakes, i like it :)

Answer 19

thanks!

Answer 20

yw

Answer 21

Wait on that last part how does U = (-2,-1)?

Answer 22

ummm, its in the instruction :/

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 PQ corresponding to side UV.

>>>>>The point (-2, -1) will be the location of vertex U<<<<<<<<<

and point (7, -1) will be the location of point V.