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Lesson Plans and Creative Activities for Geometry Classroom
This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2009-07-25.
This is something between a lesson plan and an exercise. It is a tough problem requiring insight, and the problem is fully worked out in the text.
I only see one major problem with the "CircumCircle" lesson-- the triangle side lengths are mislabeled. I think Johnny Texas' review is a bit harsh and misleading, especially since his (Texas') third paragraph includes a mathematical error-- moving point A along the circumference of the circle does not change the measure of angle A, as long as angle A cuts out the same arc BC.
I think the "CircumCircle" lesson is a fine example of a special case of a well-known result. It shows students they do not have to automatically apply memorized formulas to every scenario. The typesetting could be improved, but that's just presentation.
This rating and comment only applies to the resource labeled "CircumCircle." Your problem (while interesting) is not solvable by your own presented solution.
First the triangle you present does not exist (the one you have for this very problem on your website
Furthermore the interior angle is twice the measure of its corresponding exterior angle as long as the angles measure the same arc of the circle AND share the diameter and the corresponding radius as one of their sides. What you have presented is completely illogical and frankly impossible because you could rotate point A around the circle and create many different angles which must equal the same angle when doubled according to your answer.
Please Please do not use this to teach math to students as you will just give them a greater hardship than they may begin with!