The point (5,4) is rotated 180° clockwise

Mathematics

1 answer:

zmey [24]3 years ago

3 0

Answer: $(-5,-4)$

Step-by-step explanation:

I assume that you need the new coordinates of the point after the rotation centered at the origin.

For this exercise it is important to remember the definition of "Rotation".

A Rotation is defined as a transformation which a figure is rotated about a fixed point known as "Center of rotation".

The figure before the transformation is called Pre-Image and the figure obtained after the transformation is called "Image".

The 180 degree rotation about the origin Rule states that:

$(x,y)$ → $(-x, -y)$

Therefore, knowing that the given point (5,4) is rotated 180 degrees clockwise about the origin, you can conclude that its Image is:

$(-5,-4)$

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