rotate figure efgh $180^{\\circ}$ around the origin.
rotate figure efgh $180^{\\circ}$ around the origin.
Answer
Answer:
The coordinates of the rotated figure (E'F'G'H') are (E'(-5, -20)), (F'(-10, -20)), (G'(-10, -5)), (H'(-5, -5)). When plotted, this forms a square symmetric to the original (EFGH) across the origin.
Explanation:
Step1: Identify original coordinates
From the grid: (E(5, 20)), (F(10, 20)), (G(10, 5)), (H(5, 5))
Step2: Apply 180° rotation rule
A 180° rotation around the origin transforms a point ((x, y)) to ((-x, -y)).
- For (E(5, 20)): (E'(-5, -20))
- For (F(10, 20)): (F'(-10, -20))
- For (G(10, 5)): (G'(-10, -5))
- For (H(5, 5)): (H'(-5, -5))
Step3: Plot rotated points
Connect (E'\to F'\to G'\to H'\to E') to form the rotated square.