5. A rectangle has vertices at points \( (0,0),(2 c, 0),(2 c, c),(0, c) \). Select all the points that lie on the sides of the rectangle. \( \square \) A. \( (0,2 c) \) \( \square \) B. \( (c, c) \) \( \square \) C. \( (2 c, 2 c) \) \( \square \) D. \( (c, 0) \) \( \square \) E. \( (c, 2 c) \)

To determine which points lie on the sides of the rectangle defined by the vertices \( (0,0),(2c, 0),(2c, c),(0, c) \), we need to analyze each proposed option: - **A. \( (0,2c) \)**: This point is not on any of the rectangle's sides as it lies above the top side. - **B. \( (c, c) \)**: This point is inside the rectangle, not on a side. - **C. \( (2c, 2c) \)**: This point is not on any side of the rectangle; it lies above the rectangle. - **D. \( (c, 0) \)**: This point is on the bottom side of the rectangle, confirming it lies on a side. - **E. \( (c, 2c) \)**: This point is also above the rectangle and does not lie on any of its sides. Therefore, the point that lies on the sides of the rectangle is **D. \( (c, 0) \)**.