Using Circle Theorems: Angle and Semicircle as a Right Angle

Using Circle Theorems: Angle and Semicircle as a Right Angle

Assessment

Interactive Video

Mathematics

University

Hard

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The video tutorial covers circle theorems, focusing on the angle in a semicircle being a right angle. It explains how to use gradients to identify right angles and calculate the equation of a circle using midpoints and radius. An example problem involving triangle JKL is solved to demonstrate these concepts. The tutorial concludes with a summary of the circle theorems and their applications.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general equation of a circle, and how do you derive it?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you prove that a triangle is a right angle triangle using gradients?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What assumptions can be made about the circumcircle of a right angle triangle?

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