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

this question is similar to others that have been asked in the past; the key is finding the scalar value between the images i believe

Answer 2

Ok :) how do i do that?

Answer 3

since PQ is a straight line; the distance can be determined rather simply

Answer 4

the distance between -5 and -2 is 3

hmm, but they give you rs and wx, so pq prolly aint much use at the moment :)

Answer 5

you know how to find the distance between 2 points?

Answer 6

nope ;(....

Answer 7

R (2, 3), and S (-8, 3)

W (8, -4) and X (-12, -4)

subtract one point from the other and pythag the results

Answer 8

but in this case its a little simpler

notice that R and S both end in the same number; which means they differ only in their first numbers

Answer 9

ok :)

Answer 10

the distance between -2 and 8 would be:

8--2 = 8+2 = ?

Answer 11

Can you tell me what the anwser is. so i know what it is and i know how to get to it :)

Answer 12

the answer will be what we get to in the end; since we are not at the end yet, i wouldnt know what it is :)

Answer 13

okay:) is it 10 to your question

Answer 14

10 is the distance from R to S

now we find the distance from W to X to compare with

since W and X have the same last numbers, the distance is the difference in the first numbers as well:

8 --12 = 8+12 = ?

Answer 15

20?

Answer 16

20 is good; now we can find the scaling factor between the traps;

10:20 , or simply put, times 2 since 10*2 = 20

Answer 17

knowing this, we need to find the distances between the xs and ys of the cooresponding pqrs
uvwx

v and q coorespond to each other; so the distance from say, r to q is scaled to get w to v

Answer 18

Q (-2, 7), R (2, 3) we just subtract one point from the other

Q (-2, 7)
-R (2, 3)
--------
(0 , 4)

does that make sense?

Answer 19

is that the anwser?

Answer 20

not yet, that just tells us how to move from one point to the other; but we are almost there

Answer 21

this movement (0,4) has to be doubled; so times it by 2

(0,4) * 2 = (0,8) this is the cooresponding movement between W and V

just gotta make sure we move in the correct direction

Answer 22

ok is that the real anwser?

Answer 23

you really arent following along with this explanation are you .....

Answer 24

i am im just limited on time.... i have two mins. to finish this assignment or i'll get a zero ;(

Answer 25

also, i mis mathed the distance from Q to R; shoulda been

-2-2 = -4
7-3 = 4
------------
-4,4 times 2 = -8,8

Answer 26

W(8, -4)
-8 ,8
-------
0, 4


W(8, -4)
8,-8
------
16,-12


depending on which direction we need to go, its one of these

Answer 27

you got answer options to compare with?

Answer 28

no i don't :(

Answer 29

P (-5, 7), Q (-2, 7), R (2, 3), and S (-8, 3)