Question

The diagram below shows the location of EF⎯⎯⎯⎯⎯ on a coordinate plane. Suppose that EF⎯⎯⎯⎯⎯ is rotated 180 degrees clockwise about the origin. What are the coordinates of the image of point E?A. (4,−2)B. (2,−4)C. (−2,−4)D.(−4,−2)

Answer 1

Explanation

A rotation of a point P = (x, y) at an angle of 180° about the origin, is given by the transformation:

$P=(x,y)\rightarrow P^{\prime}=(x^{\prime},y^{\prime})=(-x,-y).$

From the graph, we see that E = (4, 2).

Applying the transformation above, we get:

$E=(4,2)\rightarrow E^{\prime}=(-4,-2).$Answer

(-4, -2)