How do I use the bow-tie circle theorem?

To explain this question, I would first draw a digram of a circle. Then I woud add a chord and create triangles with vrtices at the circumference of the circle which all have the chord as a base. Next, I would point out the angles which are equal and make a point that they have to touch circumference of the circle on all three sides, be subtended by the same chord and be in the same segment of the circle. I would also draw the diagram in the form of a "bow-tie" because that is a very common way to test knowledge of the theorem at GCSE, which students often misunderstand. Using that diagram I would again point out the angles which are equal, highlighting the chords that subtend them. If possible I would use different colours for the different angles.

Answered by Ivana T. Maths tutor

6103 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A quarter circle has a radius of 6 cm. Calculate the area of the quarter circle.


Solve the following quadratic inequality: 6x^2 -x -35 < 0


How do I factorise this expression? [Let’s say it’s x^2 + 5x + 6]


The number of uniform spherical balls that can be produced from a given mass of lead is inversely proportional to the radius of the ball cubed. If 2744 balls can be made when the radius is 1mm, how many balls can be made when the radius is 1.4mm ?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences