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Circle Theorems: Cyclic Quadrilateral

# Circle Theorems: Cyclic Quadrilateral

### Circle Theorems: Cyclic Quadrilateral

In the cyclic quadrilaterals circle theorem, opposite angles add up to 180 degrees.

Our next circle theorem involves what we call a cyclic quadrilateral. This is a quadrilateral drawn inside a circle where all of the vertices lie on the circumference of the circle.

What characteristics would you expect a quadrilateral to have?

You can select multiple answers

Complete this sentence: opposite angles in a cyclic quadrilateral add up to______

A trapezium is drawn inside a circle with its vertices on the circumference. The top angles in the shape are both $57\degree$, how big are the bottom angles?