Question

True or False
When point E (-9, 3) is rotated 180° about the origin, its coordinate becomes (3, 9).

Answer 1

I would suggest graphing it

Answer 2

That would be faster than making a rotation matrix

Answer 3

Graph the two points

Answer 4

i think i might know the answer

Answer 5

If you want to do it the hard way take the position vectors of the two points and add them to see if the sum equals 0

Answer 6

If the sum equals zero then one is 180 degrees of the other one

Answer 7

i got True as my answer

Answer 8

the sum of these two vectors does not equal 0 so the answer would be false not true

Answer 9

the vectors of both the points are -9i+3j and 3i+9j

Answer 10

ok thank you

Answer 11

do you know how to add vectors?

Answer 12

yes

Answer 13

ok well the sum of the two points position vectors is not zero it is -6i + 12j

Answer 14

ok

Answer 15

The dot product of the vectors is also 0 so the angle between them is 90 degrees not 180

Answer 16

just gave u 3 ways to prove that its false

Answer 17

thank you