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What is the ordered pair of X' after point X (3, 4) is rotated 180°?

Option 1: OX(3,-4)
Option 2: OX(-3,-4)
Option 3: OX (4,3)
Option 4: OX(-4,-3)

User Rcoyner
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1 Answer

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Final answer:

After rotating point X (3, 4) by 180°, the ordered pair of X' will be (-3, -4), corresponding to Option 2.

Step-by-step explanation:

When a point is rotated 180° around the origin, both the x-coordinate and the y-coordinate change signs. Therefore, after rotating point X (3, 4) by 180°, the new coordinates will be X'(-3, -4).

To find this, we negate both the original x and y values of the point because a 180° rotation is essentially a half turn around the origin, which places the point on the opposite side of both axes.

User PVoLan
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