Which term describes a four-sided figure that touches a circle at its corner points?

• A. Cyclic quadrilateral
• B. Rectangle
• C. Parallelogram
• D. Rhombus

Answer: (A)

If a circle goes through all four corner points of a four-sided figure, that means the four vertices lie on the circle. The term for any quadrilateral with all four vertices on a circle is a cyclic quadrilateral. This is the broad description that fits any shape with that property, not just one specific type.

Note that a rectangle is a special case of a cyclic quadrilateral (its four vertices do lie on a circle), but the question asks for the general description of a figure whose corners touch the circle, which is captured precisely by cyclic quadrilateral. Parallelogram and rhombus don’t automatically have all four corners on a circle unless they happen to be rectangles (or squares), so they don’t describe the given situation as reliably.