Question

The vertices of triangle IJK have coordinates I(−5, −2), J(−5, −4), and K(−4, −4).

Which coordinates are the coordinates of the vertices of triangle IꞌJꞌKꞌ when triangle IJK is rotated 180° clockwise around the origin?



A.
Iꞌ(5, 2), Jꞌ(5, 4), Kꞌ(4, 4)

B.
Iꞌ(−2, 5), Jꞌ(−4, 5), Kꞌ(−4, 4)

C.
Iꞌ(2, −5), Jꞌ(4, −5), Kꞌ(4, −4)

D.
Iꞌ(−5, 2), Jꞌ(−5, 4), Kꞌ(−4, 4)

Answer 1

Any point (x, y) rotated 90° CW about (0, 0) ⇒ (y, -x)

Answer 2

Any point (x, y) rotated 180° about (0, 0) ⇒ (-x, -y)

Answer 3

Any point (x, y) rotated 90° CCW about (0, 0) ⇒ (x, -y)

Answer 4

I(−5, −2) rotated 180° about (0, 0) ⇒ (5, 2)

Answer 5

J(−5, −4) rotated 180° about (0, 0) ⇒ (5, 4)

Answer 6

K(−4, −4) rotated 180° about (0, 0) ⇒ (4, 4)

Answer 7

What do you think the answer is? :3

Answer 8

I think either A or D.

Answer 9

D isn't correct..

Answer 10

So it's A then?

Answer 11

But A is the correct answer! ^-^

Answer 12

Yes, A is correct. :3

Answer 13

Thank you so much!

Answer 14

Also welcome to Openstudy! ^-^ and No problem! ^-^