Question

1. Carefully constructing a circle with center point C, draw and label a horizontal diameter with endpoints A on the left and B on the right. Place an additional point D on the upper semicircle, sufficiently right of the point on the circle directly above the center such that a central angle BAD is 36 degrees. Draw the radius CB. You now have two pairs of isosceles triangles: triangle A C D space & space triangle B C D Using both the triangle angle sum and exterior angle theorems, affirm that angle A D B is a right angle. Neatly label all component angles and indicate which radii and chords are equal lengths. Explain any necessary relationships to complete the proof, such as which angles might be complementary or congruent, and why? The diagrams should be neatly drawn and well labeled.

          1. Carefully constructing a circle with center point C, draw and
label a horizontal diameter with endpoints A on the left and B on
the right.  Place an additional point D on the upper
semicircle, sufficiently right of the point on the circle directly
above the center such that a central angle BAD is 36 degrees.
 Draw the radius CB.  You now have two pairs of isosceles
triangles: triangle A C D space & space triangle B C
D 
Using both the triangle angle sum and exterior angle theorems,
affirm that angle A D B is a right angle.
Neatly label all component angles and indicate which radii and
chords are equal lengths.  Explain any necessary relationships
to complete the proof, such as which angles might be complementary
or congruent, and why?  The diagrams should be neatly drawn
and well labeled.

Added by Luisa W.

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