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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a cyclic quadrilateral?

πŸ’‘ Hint: Think about the location of its vertices.

Question 2

Easy

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

πŸ’‘ Hint: Look at the sum of the angles.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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

πŸ’‘ Hint: Consider where the vertices are located.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Reflect on your learning about angles.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Look back on theorem implications.

Question 2

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

πŸ’‘ Hint: Use known angles to guide your figure.

Challenge and get performance evaluation