Leaving Certificate Mathematics Definitions Practice Test

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

Cyclic quadrilateral Rectangle Parallelogram Rhombus

Correct Answer:

Cyclic quadrilateral

Explanation:

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.

Access more questions from this quiz

Continue to Leaving Certificate Mathematics Definitions Practice Test for more practice questions and the full quiz experience.

Access More Questions