A
20. In figure 3.98, seg AB is a diameter of
C
a circle with centre 0. The bisector
of Z ACB intersects the circle at point D.
Prove that, seg AD seg BD.
Complete the following proof by filling
in the blanks
D
Proof
: Draw seg OD
Fig. 3.98
2 ACB =
angle inscribed in semicircle
ZDCB =
...... CD is the bisector of LC
m(arc DB) =
.......... inscribed angle theorem
DOB =
definition of measure of an arc (1)
seg OA seg OB
(II)
... line OD is
of seg AB From (1) and (II)
.. seg AD seg BD
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