Solving Circle Angle Problems

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•
Mathematics
•
10th - 12th Grade
•
Hard
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7 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the significance of the right angle formed when a tangent meets a radius in a circle?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain why angle OQP is equal to angle OPQ in the context of the isosceles triangle formed in the circle.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What theorem justifies that the base angles of an isosceles triangle are equal?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
How do you calculate the size of angle PQT using the information provided about angles in the triangle?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
Describe the relationship between the angles in triangle OQP and the tangent QT.
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the final answer for angle PQT and how was it derived?
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
Identify the key circle theorems that are applied in solving for angle PQT.
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