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Circle Angles
![07022011 Image002](/fileadmin/_processed_/c/8/csm_07022011Image002_6b1acc6ba3.jpg)
Seven activities in which students investigate angles in circles using basic geometric constructions.
Publisher: Texas Instruments UK
Editor: Barrie Galpin
Topic: Wiskunde
Tags Hoeken , Cirkelstellingen , Meetkunde
Students start with a new, blank TI-Nspire document and, using a worksheet for guidance, work through the necessary constructions. The seven investigations are:
· Triangle on a Chord and Centre
· Perpendicular Bisector of Chords
· Inscribed Angle Theorem
· Angle in a Semicircle
· Tangent to a Circle
· The Tangent Kite
· The Cyclic Quadrilateral
In each case students are able to move points and see how the measurements of angles change. This will convince them that a particular result always seems to be true. They are then encouraged to prove the result, either using an algebraical or a geometrical approach.