Question

SOMEBODY ANYBODY! HELP A SENIOR GRADUATE!


Larry grows cabbages in a square plot in his garden. He created a drawing of his cabbage plot on a coordinate grid. The locations of three corners of the plot are represented by coordinates (7, 4), (5, 7), and (2, 5).

Which of these coordinates represent the fourth corner?

(3, 1)

(4, 2)

(3, 2)

(4, 1)

Answer 1

best bet is to plot it out and get a feel for the last corner

Answer 2

we could also turn these into vector and make it easier ... maybe

Answer 3

Thats the thing im really bad at graphs i was hopping someone could just answer it and tell how they did it :(

Answer 4

what is vector?

Answer 5

lets avoid the "just answering" scenario and see if we can work our way to a suitable answer

Answer 6

graphing points shouldnt be that hard, the numbers even yell you where it goes

Answer 7

ok do you get exactly what there asking?

Answer 8

i do, we want a square and they give 3 points and want the fourth

Answer 9

lets find some opposite corners to play with

Answer 10

ok im going to try

Answer 11

lets find the midpoint of these 2 points and that will give us a center to work from

Answer 12

add the points and divide by 2

Answer 13

2,5
7,4
----
9,9 /2 = 4.5, 4.5

our center point, and midpoint between corners is then 4.5, 4.5

Answer 14

we can use this with the other point to get to our corner

5 , 7
x, y
--------
4.5 , 4.5

(5+x)/2 = 4.5

5+x = 9 when x=4
7+y = 9 when y=2

i would say that our missing point is that 4,2

Answer 15

i just realized something after reading this thing 2 months after the fact :)

2,5 5,7
7,4 x,y
--- ----
9,9 9,9

i knew each set of points had to have a common midpoint, so in hindsight, we just needed to determine (x,y) that would add up to the same amounts :)

(x,y) -> (4,2)