Question

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)

(adding picture in a second)

Answer 1

Pick a dot, any dot, and count the change in x and change in y.

Answer 2

@e.mccormick Sorry but I'm not following :/

Answer 3

Well, you have 6 points that are moved to 6 new points. Pick one, say D to D'. So count how far D moves right or left (change in x) and up or down (change in y).

Answer 4

ugh I feel so stupid I have no idea what your saying :(

Answer 5

Ignore all the other points:

Answer 6

How far over to the left does the x change?

Answer 7

8 points?

Answer 8

Yes, and because it is left it is negative.

How far down does the y change?


Because it is down, so it is also negative.

Answer 9

-7?

Answer 10

Yes. So x-8, y-7

Answer 11

! that makes so much more sense now! Would you mind explaining 3 more or are you short on time?

Answer 12

I can help. Have more down time here.

Answer 13

Which coordinates will best represent point B'?

(4, 2)

(0, 8)

(-1, 7)

(5, 3)

Answer 14

Ummm.... none of those are right. But, "best represent" sounds like they are asking for what is closest to correct.

Answer 15

I hate when that happens :/

Answer 16

OK, well, what are the actual coordinates for B? Remember, coordinates on a Cartesian Plane (flat) are always given in the form of (x,y).

Answer 17

(2,5)?

Answer 18

Yes. So, which of your answers is closest to that?

Answer 19

I don't think any of them are close :/

Answer 20

Yah. Not really. I would ask your teacher on that one. It is (2,5) and none of those is really at all near that.

Answer 21

I mean, if the last one was (3,5) it would be close. But (5,3) is not. The rest seem pretty bad too.

Answer 22

Wait it also says: Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x-2, y+3).

Answer 23

OK, so are they looking for B' then?

Answer 24

I'm not sure

Answer 25

Well, put (2,5) into (x-2, y+3) and see what you get.

Answer 26

0,8?

Answer 27

Yep. Which IS in the list, so I would use that!

Answer 28

ok!

Answer 29

let me get the next question

Answer 30

Triangle ABC is translated on the coordinate plane below to create triangle A'B'C':

Triangle ABC, triangle A prime B prime C prime, and parallelogram EFGH on the coordinate plane with ordered pairs at A negative 7, negative 2, at B negative 5, negative 5, at C negative 1, negative 5, at A prime negative 4, 4, at B prime negative 2, 1, at C prime 2, 1, at E 3, 6, at F 7, 6, at G 5, 3, at H 1, 3.

If parallelogram EFGH is translated according to the same rule that translated triangle ABC, what is the ordered pair of point H'?

(-3, -3)

(4, 9)

(7, 6)

(0, -5)

Answer 31

OK, so this is basically both the earlier questions, but as one.

Answer 32

First, use some point on the traingle and how it moves to the prime triangle to find the translation rule.

Second, find the starting values for H.

Third, apply the translation to H to get H', which is the answer.

Answer 33

ugh I am already lost

Answer 34

OK, so let us take it one step at a time. What is the tanslation from A to A'? Be careful to go from A to A' and not the revese.