Circle Theorems: 12 Theorems Based on Circles

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Mathematics
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10th Grade - University
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Hard
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7 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the statement of theorem number six regarding equal chords of a circle?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
How can we prove that the distance from the center to two equal chords is equal?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What does the converse of theorem six state about chords equidistant from the center?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain the relationship between angles subtended by an arc at the center and at any point on the circle.
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the significance of the exterior angle theorem in proving angles in triangles?
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
How can we conclude that angles in the same segment of a circle are equal?
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
What special case arises when a chord passes through the center of the circle?
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