Final: The Kite Diagonals

Part of the Congruence & Proof section of Coddy's Geometry journey. Lesson 59 of 63.

Kite PQRS has PQ = PS and RQ = RS, as the ticks show. Its diagonals PR and QS cross at O.

Prove that the diagonal PR cuts QS in half: O is the midpoint of QS.

Challenge

In kite PQRS the ticks show PQ = PS and RQ = RS, and the diagonals cross at O. Prove that O is the midpoint of QS, then press Check.

Try it yourself

$Write the proof$

Write the proof

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Congruence & Proof

2Congruent Triangles

5ASA and AAS

8Proofs with Vertical Angles

11Similarity Proofs

3SSS

6HL for Right Triangles

9Proofs with Parallel Lines

12Final Challenges