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)
a 180° rotation (in either direction) just changes the signs of all the coordinates.
Oh okay thank you!
To rotate a point (x, y) 180 degrees clockwise around the origin, you can use the following transformation:
(x', y') = (-x, -y)
Now, let's apply this transformation to each vertex of triangle IJK:
For vertex I(-5, -2):
Iꞌ = (-(-5), -(-2)) = (5, 2)
For vertex J(-5, -4):
Jꞌ = (-(-5), -(-4)) = (5, 4)
For vertex K(-4, -4):
Kꞌ = (-(-4), -(-4)) = (4, 4)
Therefore, the coordinates of the vertices of triangle IꞌJꞌKꞌ when triangle IJK is rotated 180° clockwise around the origin are:
Iꞌ(5, 2), Jꞌ(5, 4), and Kꞌ(4, 4)
So, the correct answer is A. Iꞌ(5, 2), Jꞌ(5, 4), Kꞌ(4, 4).