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

this is as far as i got To find the vertex for X you must use the proportion UV/PQ=UX/PS. That amounts to 9/3 = 15/5. 9/3 and 15/5 equal 3 so the scale factor is 3:1.

Answer 2

@ganeshie8

Answer 3

you there isuri

Answer 4

*suru

Answer 5

***[ISURU]*** can you help me

Answer 6

im here

Answer 7

You said, you have scale factor of 3:1. Therefore, you can then find the dimensions of the other sides of the trapezoid UVWX with traperzoid PQRS as reference.

Answer 8

-24,9

Answer 9

May I see your solution?

Answer 10

-8 * 3=-24 and 3*3=9

Answer 11

what is -24,9 ?

Answer 12

X

Answer 13

is my answer right??????

Answer 14

I'm not sure with your solution because this wouldn't be that easy.
How did you get the distance UV and PQ? May I know?

Answer 15

distance formula

Answer 16

did you already find the distance PQ and RS?

Answer 17

no

Answer 18

I think you need to find first the distance of WX using the scale ratio of 3 which must be based from the distance of RS and you can find RS using distance formula, right?

Answer 19

i guess

Answer 20

Are you done doing it now?

Answer 21

RS is 10

Answer 22

Then WX is?

Answer 23

i dont know because X is unknown

Answer 24

isn't it that you can use the relation of similar figures right? because it is written in the problem that those trapezoids are similar.

Answer 25

right

Answer 26

So WX is now then?

Answer 27

i really dont know

Answer 28

You said the the scale ratio of UVWX to PQRS is 3:1. Therefore, if RS = 10, WX = 30. You get the point?

Answer 29

so the lengths are just mmultiplied by 3

Answer 30

Yes. :) Can you find too the distance of XU?

Answer 31

@JackJones

Answer 32

how would you do that

Answer 33

Find PS and multiply it by 3. :)

Answer 34

PS is 5 so 15

Answer 35

Yes. Now you can use system of equality to solve for the coordinates of X using the computed distance and the distance formula for WX and UX.

Answer 36

could you do that part for me plz

Answer 37

ganshie plz help