Question

Seg PM and seg PN are congruent chords of a circle with centre C. Show that the ray PC
is the bisector of NPM.​

Answer 1

Answer:

hey here is your proof

pls mark it as brainliest answer

refer the reference diagram uploaded above

Step-by-step explanation:

so consider triangle mcp and triangle ncp

so here pm=pn (given)

also mc=cn (radii of same circle)

also pc=pc (common side)

thus triangle mcp congruent to triangle ncp by S.S S Test

so angle mpc=npc (c.a.c.t)

so now as pc divides angle mcp and ncp

in two equal congruent angles

we can say that pc is bisector of angle mpn

thus ray pc is the bisector of angle mpn

thus proved

hope it helped u a lot