Practice Angle Subtended By A Chord At A Point (9.1) - Circles

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8 questions

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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a chord in a circle.
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Think about the parts of a circle and what connects two points.
Question 2.
What is the angle subtended by a chord at the center?
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Remember, the center is the focal point of a circle.
3Question 3.
What is the relationship between the lengths of chords and the angles they subtend at the center?
- Longer chords subtend smaller angles
- Longer chords subtend larger angles
- Chords have no effect on angles
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Visualize the chord lengths and corresponding angles.
4Question 4.
True or False: If two chords are equal, then their angles subtended at any point on the circle are equal.
- True
- False
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Reflect on the concept of symmetry in geometry.
Question 5.
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.
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Remember the relationship between angles and arcs!
Question 6.
Two equal chords AB and CD intersect at point E within a circle. Prove that AE = CE and BE = DE.
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Focus on triangle properties!

4 more questions in this section. Enroll free to practise them all.