bcimaria
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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 :

RedRicin
Any point (x, y) rotated 90° CW about (0, 0) ⇒ (y, -x)
Any point (x, y) rotated 180° about (0, 0) ⇒ (-x, -y)
Any point (x, y) rotated 90° CCW about (0, 0) ⇒ (x, -y)

I(−5, −2)  rotated 180° about (0, 0) ⇒ (5, 2)
J(−5, −4)  rotated 180° about (0, 0) ⇒ (5, 4)
K(−4, −4)  rotated 180° about (0, 0) ⇒ (4, 4)

The correct answer is A.

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