the correct coordinates for point A after rotating Pentagon ABCDE 180 degrees clockwise would be (-4, -2). option d.
what is pentagon?
A pentagon is a geometrical shape, which has five sides and five angles. Here, “Penta” denotes five and “gon” denotes angle. The pentagon is one of the types of polygons. The sum of all the interior angles for a regular pentagon is 540 degrees.
To rotate a point 180 degrees clockwise, we can simply negate the x and y coordinates of the original point. Let's denote the original coordinates of point A as (x, y).
Given options:
A) (0, -2)
B) (2, 0)
C) (4, -2)
D) (-4, -2)
If we apply a 180 degrees clockwise rotation to point A, the new coordinates would be (-x, -y).
Let's check which option satisfies this condition:
A) (0, -2): Negating x and y coordinates, we get (-0, -(-2)) = (0, 2) ≠ (-x, -y), so this is not the correct answer.
B) (2, 0): Negating x and y coordinates, we get (-2, 0) ≠ (-x, -y), so this is not the correct answer.
C) (4, -2): Negating x and y coordinates, we get (-4, 2) ≠ (-x, -y), so this is not the correct answer.
D) (-4, -2): Negating x and y coordinates, we get (4, 2) which is equal to (-x, -y). So, the correct answer is option D) (-4, -2).
Therefore, the correct coordinates for point A after rotating Pentagon ABCDE 180 degrees clockwise would be (-4, -2). option d.
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