9.1 - Angle Subtended by a Chord at a Point
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Practice Questions
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Define a chord in a circle.
💡 Hint: Think about the parts of a circle and what connects two points.
What is the angle subtended by a chord at the center?
💡 Hint: Remember, the center is the focal point of a circle.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between the lengths of chords and the angles they subtend at the center?
💡 Hint: Visualize the chord lengths and corresponding angles.
True or False: If two chords are equal, then their angles subtended at any point on the circle are equal.
💡 Hint: Reflect on the concept of symmetry in geometry.
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Challenge Problems
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If angle AOB is 70° and the length of chord AB is known, find the angle subtended at any point P on the circle in the same segment.
💡 Hint: Remember the relationship between angles and arcs!
Two equal chords AB and CD intersect at point E within a circle. Prove that AE = CE and BE = DE.
💡 Hint: Focus on triangle properties!
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