Title: Verification of Inscribed Angle Theorem
Software and Version: Geogebra
Theory: Verify the theorem using Geogebra - The measure of an angle subtended by an arc at a point on the circle is half of the measure of the angle subtended by the same arc at the centre.
Software and Version: Geogebra
Theory: Verify the theorem using Geogebra - The measure of an angle subtended by an arc at a point on the circle is half of the measure of the angle subtended by the same arc at the centre.
Procedure:
1) Start the
Geogebra Software
2) Select the
Circle with Centre through Point tool. Click at a point A and then click at
another convenient point B to draw a circle with centre A through point B.
3) Using New
Point tool, add two other points C and D on the circumference of the circle
4) Select the
Segment between Two Points tool and draw the segments AB, AC, DB and DC.
5) Select the
Angle tool. Click on the segments AB and AC. This measures the angle subtended
by the arc CB at the centre as α. Similarly, click on the segments DB and DC.
This measures the angle subtended by the arc CB at the circumference as β.
6) It is seen
that α=2β, i.e. the measure of the angle subtended by an arc at the
circumference is half that subtended at the centre.
Result: Theorem verified.
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