Solving Circle Angle Problems

Solving Circle Angle Problems

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a geometry problem involving circle theorems. It covers identifying right angles formed by tangents and radii, understanding isosceles triangle properties, and calculating the angle PQT. The solution is broken down into steps with justifications, and the marks allocation is discussed.

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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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