Question

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV, as shown below:
What will be the location of U' in the image trapezoid S'T'U'V'?
A. (16, −2)
B. (14, −2)
C. (14, 1)
D. (16, 1)

Answer 1

@calculusxy @phi @peachpi

Answer 2

pick a point on rectangle JKLM, say point J which is at (-5,1)
where is point J' ?

Answer 3

In my opinion is A, but im not sure i just need an explanation

Answer 4

say point J which is at (-5,1) where is point J' ?
can you find point J' and "read off" its (x,y) coordinates?

Answer 5

Point J is at 4,5

Answer 6

point J prime J'
yes, it is at x=4
what is its y ? (its y is not 5)

Answer 7

y is at 3? im not sure about y

Answer 8

how many "steps up" (or boxes) from the x-axis up to J' ?

Answer 9

3?

Answer 10

Here is a picture counting up 2 steps (see the red numbers?)

Answer 11

ohhh, yes i see them

Answer 12

so how far up to J' ?

Answer 13

2

Answer 14

how far up from the x-axis? (2 gets us 1/2 way)

Answer 15

3 then, i really dont know omg

Answer 16

you will get it.
you put your finger on the x-axis below J' and count up 1,2,etc
until you are at J' (the corner of the rectangle)

Answer 17

5

Answer 18

like this

Answer 19

ohhh i get it now

Answer 20

the corner of the box (labeled J') is at (4,4)
from the "origin" you move sideways 4 steps, then 4 steps straight up.

Answer 21

so J at (-5,1) moved to J' at (4,4)
what do we add to -5 to make it 4 ?
what do we add to 1 to make it 4 ?

Answer 22

1 and 3

Answer 23

ok on the 3 (so remember we add 3 to the y number)
but
-5+1 = -4 and we want +4

Answer 24

so what do we do? :/

Answer 25

the other way to figure it out is put your finger on J and count how many steps to the right until you are directly under J'
(it is more than 1 step)

Answer 26

when I say point J, I mean the corner of the rectangle labeled J
it is at (-5,1)

Answer 27

i dont get it, the part of counthing steps to the right

Answer 28

can you put your finger on the corner of the rectangle near the label J ?

Answer 29

yes

Answer 30

and move your finger to the right one box, then two boxes, and so on ?

Answer 31

okay i do that up to where?

Answer 32

keep doing that (and counting) until you are directly under the corner of the rectangle labeled J'

Answer 33

2?