![]() On each proof page is a link to a downloadable pdf version. Eighth circle theorem - perpendicular from the centre bisects the chord.Seventh circle theorem - alternate segment theorem.Sixth circle theorem - angle between circle tangent and radius.Fifth circle theorem - length of tangents.Fourth circle theorem - angles in a cyclic quadlateral.Second circle theorem - angle in a semicircle.Third circle theorem - angles in the same segment. Geometry 1: Lines, Rays, Segments and Angles 1: Naming Lines, Rays, Segments, and Angles 2: Working with Measures of Segments and Angles 11: Circles 11.First circle theorem - angles at the centre and at the circumference.Now, having got by with seven theorems and no proofs since 2007, I've looked at part of the AQA specification and noticed they have eight theorems and five proofs, so I've updated the site accordingly. Geogebra is a free dynamic geometry package, which readily lends itself to this sort of activity. pdf file hereīut try out the dynamic geometry pages first - you can move points around and see what happens! There is a summary of all the theorems here and if you want a hard-copy version, you can download a. ![]() I've also done proofs for five of the theorems, and activities (which involve paper, pencil &/or scissors) for two of them. You can use them to work out what the theorems are. These pages have a page with a dynamic geometry window for each of the eight theorems. Geometry Cluster Identify and describe shapes (squares, circles, triangles, rectangles, hexagons. The intersection of the diameter and the chord at 90 degrees can be very close to the centre and so the two lengths coming from the point of intersection to the radius are assumed to be equal, but they aren’t.Embeding Geogebra: Embed Geogebra applet into html webpage
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