Question

The coordinates of ADEF are D(4,2), E(8,2), and F(6,8). If you translate ADEF 4 units right and 4 units down, what are the coordinates of E?

a) (12, 6)
b) (4, -2)
c) (8, -2)
d) (8, 6)

Answer 1

After translating the point E 4 units right and 4 units down, its correct coordinates should be (12, -2). However, given the answer options in the question, there seems to be an error, because none of the options match the correct coordinates. If we have to choose from the options, the closest one would be (12, 6).

Step-by-step explanation:

The question involves performing a translation of a point in the coordinate plane. To find the coordinates of point E after translating it 4 units to the right and 4 units down, we simply add 4 to the x-coordinate and subtract 4 from the y-coordinate of E's original position. The original position of E is (8,2), so after the translation, the new coordinates of E are (8+4, 2-4), which simplifies to (12, -2). However, given the answer options, there seems to be a discrepancy since none of the options match the calculation. As a tutor, it is my role to ensure that there is clarity, so we need to verify the answer options provided. If there has been a misunderstanding or typo in the answer choices, the correct coordinates after the translation should be (12, -2), but according to the provided options, the closest correct answer would be (12, 6).