Recap activity #10 with the Circle Theorems on one page.
** Updated November 2019 to include answers in the PowerPoint file **
(Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.)
This puzzle is the tenth 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.
(See Speaker Notes should you wish to customise the PowerPoint slide)
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Thank you so much for replying. I worked it out once and then when I looked at it again I could not work it out despite marking the isosceles triangle. Brilliant.
keyboardmonkey
a year ago
Hi, jaybee38. If you look at the top right circle you will notice that there is an angle at the circumference of 21 degrees. You need to apply the theorem about the angle at the centre...
Next think about the angle fact that two radii form an isosceles triangle. Now look again at angle (d). See how it sits on the tangent. Apply the theorem that a tangent and a radius form a right angle. Does that help?
You should also be able to download the PowerPoint that shows the answers.
Sorry I took a few days to reply to your comment. For some reason I am no longer receiving review notifications. I hope you enjoy these Circle Theorems puzzles.
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Love this, but for some reason the answer ppt doesn't match the pile up. It says the pptx is for Pile up 5, instead of pile up 10.
keyboardmonkey
4 years ago
Oops! I hope that didn't spoil your fun for pile up 5 :)<br />
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Thank you for letting me know - and for your 5 star review. Please find the correct ppt with answers. I hope you have found the puzzle(s) useful.
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