Question

The point (-4,0) is rotated 180 degrees counterclockwise using center (0,0). what are the coordinates of the image?

Answer 1

Answer:

The new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).

i.e. [(-4,0)→(4,0)]

Step-by-step explanation:

The rule for rotation a point 180° counterclockwise about the origin states that when a point (x, y) is rotated 180° counterclockwise about the origin, the new position of the coordinates of point P(x, y) becomes (-x, -y).

Hence,

• Rotate (x, y) counterclockwise 180° about the origin: [(x,y)→(-x,-y)]

So, when the given point  (-4,0) is rotated 180 degrees counterclockwise using center (0,0), the new coordinates of the image will be:

• Rotate (-4, 0) counterclockwise 180° about the origin: [(-4,0)→(4,0)]

Therefore, the new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).

i.e. [(-4,0)→(4,0)]

Keywords: rotation, origin, image

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