Question

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

Answer 1

Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?

Answer 2

Select one:
a. (x, y)→(x + 4, x - 2)
b. (x, y)→(x - 7, y + 7)
c. (x, y)→(x + 2, x - 4)
d. (x, y)→(x + 7, y - 7)

Answer 3

What point does D lie on?

Answer 4

1,-1 and -6,6

Answer 5

Yeah.
D is on (-6,6)
D' is on (1, -1)

So if you want D to get moved to D' :
\[ \textrm {for x:} \ \ -6 + ? = 1
\\ \textrm{for y:} \ \ \ 6 + ? = -1
\]

Answer 6

wait am I supposed to plug in numbers

Answer 7

? I mean, you can plug in each of the answers and see if it works, or you can just solve the equation.

Looking at D, for your x coordinate, you want a number that when added to -6 will give you positive 1 - that's the "translation" they're talking about.

-6 + n = 1


Looking at y, there's a number that when added to positive 6 will give you negative 1.

6 + m = -1


That'll give you

(x,y) -> (x + n, y + m)

Follow?

Answer 8

yea I follow

Answer 9

I didn't know what you meant by plug in numbers... Sorry :/

Answer 10

hmm... im trying to ask a question vut don't know how to word it

Answer 11

ok so we are supposed to find the value of m, n,y and x right

Answer 12

actually I think its B.. am I correct

Answer 13

just m and n. (x, y) has a value for each point in the hexagon DEFGHI; If you find m and n by looking at the points at D, then the rule it should hold true for all of the points. :)

And it's not B

If we apply the rule that B says (x - y, y - 7), then looking at D

D(x,y) = (-6, 6)

It will give us
D' = (-6 - 7, 6 +7) = (-13, 13)

which is incorrect

Answer 14

~~~ sorry, rule B is

(x - 7, y + 7)

I wrote it incorrectly

Answer 15

so the answer has to be D because none of the other ones make sense

Answer 16

yup yup :)

Answer 17

thnx u really helped me a lot

Answer 18

You're welcome. Glad I could help ^^