Given: Isosceles Triangle ABC is inscribed in a circle with base BC.
Prove: If P is any poin on minor arc BC, then ray PA bisects angle BPC.
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Given: Isosceles Triangle is inscribed in a circle with base
Prove: If is any point on minor arc , then ray bisectsCode:A * o * * / \ * * / \ * * / o \ * / \ * / \ * * / o \ * * / \ * / \ B*- - - - - -o- - -*C * * * * * * * o P
Draw chords and .
Inscribed angle is measured by
Inscribed angle is measured by
Since .(the triangle is isosceles),
. . then .(equal chords subtend equal arcs).
Therefore: .