Practice CIRCLES - 9 | 9. Circles | CBSE 9 Mathematics | Allrounder.ai
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of a chord?

πŸ’‘ Hint: Think about the line connecting two points on the circumference.

Question 2

Easy

State Theorem 9.1.

πŸ’‘ Hint: Consider equal lengths of line segments.

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 does Theorem 9.1 state?

  • Equal chords subtend equal angles at the center
  • All chords are equal
  • Equal angles subtend equal chords

πŸ’‘ Hint: Review the section discussing equal chords.

Question 2

True or False: The angle subtended by a chord at the center is always larger than 90 degrees.

  • True
  • False

πŸ’‘ Hint: Consider the position of the chords in a circle.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that if two arcs of a circle are congruent, then their corresponding chords are equal.

πŸ’‘ Hint: Think about how arcs relate to the chords they subtend.

Question 2

A cyclic quadrilateral has angles A, B, C, and D such that A + C = 180Β°. Prove that it is cyclic.

πŸ’‘ Hint: Relate properties of angles and the definition of cyclic quadrilaterals.

Challenge and get performance evaluation