Question

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I':



Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?
(x, y)→(x - 8, y - 7)
(x, y)→(x - 7, x - 8)
(x, y)→(x - 4, x - 5)
(x, y)→(x - 5, y - 4)

Answer 1

just focus on one point, how would we have to modify it to move it?

Answer 2

to move the point we have to drop it down and over

Answer 3

correct, by how much down and how much over?

Answer 4

over 1 and down -2

Answer 5

i see one error your making. you are moving from one point in a shape to another point in the same shape. thats not what we want to do.

we want to move say; point H to point H'

Answer 6

if we start at point H, how far down do we move and how far over do we move to get to the point H'?

Answer 7

down 8 and over 7

Answer 8

good, to me that would be the rule: x-7 and y-8

Answer 9

lets verify that tho, since its possible to have miscounted

Answer 10

oh okay wait i though it would be down -8 and over -7

Answer 11

h = (2,1)
h' = (-6,-6)

h' also is equal to (2+a, 1+b)

2a = -6 when a = -8
1+b = -6 when b = -7

h' also is equal to (2-8, 1-7)

so any general point (x,y) is moved by (x-8, y-7)

Answer 12

little typo, 2+a = -6 ... the rest seems fine lol

Answer 13

i got it now thanks i really appreciate your help

Answer 14

youre welcome

Answer 15

hopefully if i have another question later on i can contact you

Answer 16

if im around and free, sure

Answer 17

thanks again