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MathNet 2026 — Part 04 Question 34

Math Olympiad Vault · MathNet 2026 — Part 04

Question 34

Let $ABCD$ an isosceles trapezoid with $(AD)//(BC)$.


a. To show that $ABCD$ Admits a circumscribed circle.


b. we note $O$ the center of the circumscribed circle of $ABCD$ and $E$ the intersection of the diagonals. To show that $O$ is on the circumscribed circle of $AEB$.