Question

Seg pm and Seg pn are congruent chords of a circle with center c. show that the ray PC is the bisector of angle NPM​

Answer 1

Answer:

In ΔCPM and ΔCPN,

CP=CP

CM=CN(radius)

MP=NP(congruent chords)

⇒ By S.S.S congruency,

ΔCPM≅ΔCPN

⇒∠MPC=∠NPC

⇒∠x=∠y.