Class 10 Mathematics | The Relation between Opposite Angles of a Cyclic Quadrilateral

Mathematics, Class 10: Circles

Opposite Angles of a Cyclic Quadrilateral

Measure it · Prove it · Use it

What we will be able to do

⭕

Recognise a cyclic quadrilateral

📐

Check the opposite angles by measuring

✍️

Prove Theorem 3

🧮

Use it to find angles

✅Cyclic

All four corners on the circle

Square, rectangle

Isosceles trapezium

❌Not cyclic

At least one corner off the circle

A slanted parallelogram

A vertex at the centre

The notes are free to read in full.

Presenter notes: Today we meet a rule about quadrilaterals drawn inside circles. First we measure it, then we prove it, then we use it.