Practice Cyclic Quadrilaterals - 9.5 | 9. Circles | CBSE 9 Mathematics
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Cyclic Quadrilaterals

9.5 - Cyclic Quadrilaterals

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a cyclic quadrilateral?

💡 Hint: Think about the location of its vertices.

Question 2 Easy

If \( \angle A = 90° \) and \( \angle C = 90° \), is ABCD cyclic?

💡 Hint: Look at the sum of the angles.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a cyclic quadrilateral?

A quadrilateral with no angles
A quadrilateral whose vertices lie on a single line
A quadrilateral whose vertices lie on a circle

💡 Hint: Consider where the vertices are located.

Question 2

True or False: In a cyclic quadrilateral, the sum of opposite angles equals 180°.

True
False

💡 Hint: Reflect on your learning about angles.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Show that if a quadrilateral has one angle measuring 90°, and two opposite angles sum to 180°, is it cyclic? Prove your answer.

💡 Hint: Look back on theorem implications.

Challenge 2 Hard

Given a cyclic quadrilateral with angles A, B, C, and D where \( \angle A + \angle C = 180° \) and \( \angle B + \angle D = 180° \), design a geometric figure showing these properties.

💡 Hint: Use known angles to guide your figure.

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Reference links

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