Question

Trapezoid DEFG is dilated according to the rule DO,4(x,y) to form the image trapezoid D'E'F'G', which is shown on the graph. What are the coordinates of point G of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)

Answer 1

-2,1

Explanation:

dilation rule

divide the x & y of G by 4 & then

divide the x & y of G by 4 AGAIN

The rule DO,4(x,y) means that each point is dilated by a factor of 4 with the origin O as the center of dilation. So, the coordinates of point G of the pre-image are (-2/4, 1/4) = (-0.5, 0.25). So the answer is (-2, 1).

Here is the calculation:

* Point G in the image has coordinates (-32, 16).

* When we apply the dilation rule DO,4(x,y), the coordinates of point G become (-32/4, 16/4) = (-8, 4).

* To get back to the pre-image, we need to divide each coordinate by 4. This gives us (-8/4, 4/4) = (-2, 1).

Therefore, the coordinates of point G of the pre-image are (-2, 1).

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