The image of the point (1, -2) after a rotation of 180° about the origin is:

Step-by-step explanation:

We have been coordinates of a point . We are asked to find the coordinates of the point after a rotation of 180° about the origin.

We know that after rotating a point 180° about the origin, the coordinates of point changes their signs to opposite. The rule of rotating a point 180° about the origin is .

After rotating the point 180° about the origin its coordinates would be:

Therefore, the coordinates of the given point after a rotation of 180° about the origin would be .

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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