Question

I was wondering would you be so kind to check a geometry explanation for me?

Here is the other 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.

@Jim766

Answer 1

I will send you my reasoning via message :/

Answer 2

The reasoning is good.
How did you figured out the points for U and V?

Answer 3

ok give me a minute

Answer 4

^Alrighty, thank you in advance!

Answer 5

@Jim766 ?.?

Answer 6

sorry i am getting no where

you are right the base is twice as big as the original base, so all the side lengths have to be doubled.

but I cant figure out how to get the other two points.
I know they have to be on a line parallell to the base.
and the top has to be a length of 6, because the original was 3.

Answer 7

sorry, cant figure it out.

Answer 8

@Jim766

Answer 9

going back to that other one.
here are the points that I get.
U(-6,4) V(0,4)

Answer 10

You didn't get U (-6,-4) and V (4,0) ....? O.o

Answer 11

Since UV make up the top of the trap, the have to parallel to the bottom.
The bottom has a slope of zero, so will the top.

Answer 12

THANKS!

On the UV part, so the correct coordinates are the ones you just gave me
U (-6,4) V(0,4) ,

not U (-6,-4) and V (4,0) that I had in my explanation?

Answer 13

yes....

Answer 14

.Yes to which one? O.o

Answer 15

U(-6,4) V (0,4 )

Answer 16

Thanks!

Are you sure that's correct? :/ You understand how to get that answer and everything, I know previously you told me it was confusing and that you weren't able to ..

Answer 17

I am not positive, but pretty sure...
The new top has a length of 6, ( the original had a length of 3)
The slope of the right side of the new one is 4/3, the same as the original right side.
The right side length is 10, where the original was 5.

I bet there is a easier way to do it that what I did, but I think it is right.

Don't be made if it is wrong...though,...its the best I got. lol

Answer 18

made = mad

Answer 19

right...makes sense.

Answer 20

Yay! Thank you sooooo much! I hugely appreciate all your help!!!! :D
Have a great night.

Answer 21

u2