Circle Theorems Revision Exercise #12

Recap activity #12 with the Circle Theorems on one page.

(Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.)

This puzzle is the twelfth in a series of consolidation exercises/angle chases on the topic of Circle Theorems.

All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. However, this activity may be particularly useful for practising ‘angle at the centre…’ and ‘the angle from the same chord/arc…’.

(Note: this version was amended later on the day the resource was first uploaded by removing the top chord to steer the problem solver towards ‘the angle from the same chord/arc…’ rather than simply subtracting from 180 degrees. Plus it makes angle g more interesting to find, I think.)