Discussion Topic
In this unit, you studied a handful of circle theorems. However, there are other circle theorems not
covered in this unit or course. Do some research online or in textbooks to uncover a circle theorem (or
more than one) that wasn't presented in this unit. Describe it in detail. Then write either a two-column
proof or a paragraph proof for the theorem.
Does the theorem that you proved relate to theorems that you previously studied? If so, how? Were
you able to apply some theorems that you proved earlier to your newfound theorem? Explain. How
might your theorem be used in a real-world application?

Respuesta :

It should be noted that in a circle theorem, the angle that's at the center of the circle is twice the angle at the circumference.

Circle theorem.

An overview of the circle theorem will be given as your information is incomplete. The angle that's in a semicircle is a right angle.

Also, the angles that are in the same segment are equal. Furthermore, the opposite angles that are in a cyclic quadrilateral equal 180°. The angle between the tangent and the radius is also 90°.

Learn more about circles on:

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Ver imagen topeadeniran2
Ver imagen topeadeniran2

A theorem that was not taught was The angles in the same segment from a common chord are equal. I don't really find any theorems that we did learn similar to this one. This theorem could be used in a real world application to see if the angles are equal on a line segment in a circle; for example, someone has to find out if the rims of a tire will all have the equal angles so the tire can move properly.