Question

A segment with endpoint X(-6,2) and y(-1,-3) is rotated 180 degrees about the origin. What are the coordinates of x and y?
A.) x(-1,-3) and y(-6,2)
B.) x(2,6) and y(-3,1)
C.) x(-2,-6) and y(3,-1)
D.) x(6,-2) and y(1,3)
Please help!!!

Answer 1

Ok have you graphed this yet?

Answer 2

No..

Answer 3

Okay give me one sec

Answer 4

Okay, thanks!

Answer 5

Now we know that the definition of a segment is a line that ends at two points right?

Answer 6

Yup

Answer 7

Here is your graph

Answer 8

Okay

Answer 9

Now it says it is rotated around the origin what is our origin?

Answer 10

Ummm I'm really not good at this at all -___-

Answer 11

Okay so do you know if we will rotate 180 degrees anticlockwise or clockwise?

Answer 12

Um, counterclockwise?

Answer 13

We don't know that yet lol

Answer 14

Oh XD

Answer 15

We can graph the other points and determine it that way if it is easier for you.

Answer 16

Okay

Answer 17

So if we rotate around to point of origin from (x,y) we will get (-x,-y)

Answer 18

Yup

Answer 19

Ok so from that you should be able to come up with one of the answers!

Answer 20

Ummm so the answer would have a negative in it??

Answer 21

Well it would be the opposite of what you are given.

Answer 22

Would it be C??

Answer 23

Nope because it can't just change one of the (x,y) you must change both.

Answer 24

C is x(-2,-6) and y(3,-1) but since our given coordinates are (-6,2) and (-1,-3) we just need to change the signs on all of the numbers

Answer 25

D??

Answer 26

Correct!

Answer 27

Yay! Can you help me with one more?

Answer 28

Here I will graph it so you can see it!

Answer 29

Don't leave just yet!

Answer 30

I won't!

Answer 31

Here is our final graph!

Answer 32

Ok! Thanks me showing me!

Answer 33

Sure I can help you with another one!

Answer 34

When you are ready go ahead and post it.

Answer 35

Ok!
A segemt with endpoint M(5,9) and N(4,3) is rotated 270 degrees. What are the coordinates of M and N?
M(-9,-5) and N(-3,-4)
M((9,-5) and N(3,-4)
M(-5,-9) and N(-3,4)

Answer 36

Ok so 270 degrees is just 3 * 90

Answer 37

Oops! I forgot to put another choice...
M(-5,-9) and N(-4,-3)

Answer 38

Ok I will graph your question one sec

Answer 39

Okay, thanks!

Answer 40

Wait it doesn't say where it is rotated from

Answer 41

It doesn't...

Answer 42

Is it about the origin like the last one or about a point?

Answer 43

I think just a point because the word origin isn't there

Answer 44

Ok well I would need that point to continue with it.

Answer 45

So you can't figure that one out??

Answer 46

Well let's see if we can do it about the origin because it doesn't give you a point.

Answer 47

Okay

Answer 48

So like we did last time flip the signs.

Answer 49

Oh ok so it would be C??

Answer 50

Wait we only would've done 180 degrees!

Answer 51

We need to do another 90 degrees!

Answer 52

Oh, okay! So how would I do it with 270 degrees??

Answer 53

Well we need to do another 90 degree rotation. Because remember that it is 90 * 3 so we needed 180 which is 90*2 so now we need one more 90 degree rotation.

Answer 54

Oh okay so how would I do that to find the answer??

Answer 55

So now to do a 90 degree rotation is from (x,y) to (y,-x)

Answer 56

So from our 180 degree rotation we have (-5,-9) and (-4,-3) right so now you just need to do this to both sets.

Answer 57

Ummm I don't see that on the answer choices I don't think...

Answer 58

Sure it is!

Answer 59

Ohh! So it would just be C

Answer 60

If we apply that formula we get (-9,5) (-3,4)

Answer 61

Correct!

Answer 62

Wait no!

Answer 63

Ok! Can you just help me with 2 more and then I'll leave you alone??

Answer 64

It would be B

Answer 65

Oh ok

Answer 66

Yeah because we have to take the y coordinate and put it in front of x then change the x coordinate to negative. Since it is already negative it becomes positive.

Answer 67

Oh ok, I see

Answer 68

Ok so do you understand what we did here?

Answer 69

Yup! Thanks a lot!

Answer 70

Not a problem did you say you have more questions?

Answer 71

Yes, just two more and then I'll leave you alone XD

Answer 72

Leave me alone lol I came on here to teach lol

Answer 73

Oh yeah, I guess that's the point XDD

Answer 74

Okay so yeah go ahead and post them when ready!

Answer 75

Thank you!! I'll post the next one after we do this one...
A segment with endpoint A(3,1) and B(-1,-1) is rotated 90 degrees about the origin. What are the coordinates of A and B?
A(1,-3) and B(-1,1)
A(-1,3) and B(1,-1)
A(-1,-3) and B(1,1)
A(-3,-1) and B(1,1)

Answer 76

Okay so I told you how to do the 90 degree rotation I will be right back. I am getting my dinner lol but try this.

Answer 77

Ok take your time XD

Answer 78

Remember that it is going from (x,y) to (y,-x)

Answer 79

Okay

Answer 80

Would it be the first one??

Answer 81

I am back do you have an answer for me?

Answer 82

YES! THE FIRST ONE IS CORRECT!

Answer 83

Woohoo!!

Answer 84

Good job!

Answer 85

Here is a medal for you!

Answer 86

Thanks!!

Answer 87

Okay so last one?

Answer 88

Okay, last one...
A segemt with endpoints x(-6,2) and y(-1,-3) is rotated 90 degrees about the origin. What are the coordinates of x and y?
x(-1,-3) and y(-6,2)
x(2,6) and y(-3,1)
x(-2,-6) and y(3,-1)
x(6,-2) and y(1,3)

Answer 89

Oh I am not sure if I told you before or not that the origin is the point (0,0)

Answer 90

Oh okay

Answer 91

Also for this one it is the same thing (x,y) = (y,-x)

Answer 92

Is this one B??

Answer 93

Yes! That is correct!

Answer 94

Omg! I learned something today!!

Answer 95

Thank you very much!!

Answer 96

XD and your welcome!

Answer 97

Bye! Thanks again!