Thales Theorem: Exploration
- Mark Brouwer
Construct a circle, diameter and inscribed angle
Use this space to perform the following construction.
Without using the angle measurement tool, compute the the measure of the inscribed angle
Without using the measurement tool, use your knowledge of the interior angles of triangle BCD to compute the inscribed angle: BDC.
Move point D around circle A to at least three new positions.
What is the measure of BDC at each of the three new positions?
Try to explain, in your own words, the measure of an angle inscribed from the diameter of a circle.