Practice Circles (9) - Circles - CBSE 9 Mathematics

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8 questions

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6 sample questions

Question 1.
What is the definition of a chord?
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Think about the line connecting two points on the circumference.
Question 2.
State Theorem 9.1.
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Consider equal lengths of line segments.
3Question 3.
What does Theorem 9.1 state?
- Equal chords subtend equal angles at the center
- All chords are equal
- Equal angles subtend equal chords
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Review the section discussing equal chords.
4Question 4.
True or False: The angle subtended by a chord at the center is always larger than 90 degrees.
- True
- False
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Consider the position of the chords in a circle.
Question 5.
Prove that if two arcs of a circle are congruent, then their corresponding chords are equal.
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Think about how arcs relate to the chords they subtend.
Question 6.
A cyclic quadrilateral has angles A, B, C, and D such that A + C = 180°. Prove that it is cyclic.
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Relate properties of angles and the definition of cyclic quadrilaterals.

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