Given three points A B and Con a circle explain how to const

Given three points A, B, and Con a circle, explain how to construct all chords through the point C that are bisected by AB bar.

Solution

step 1: take the length of BC.

step 2: construct AD , which lenth is equal to BC

step 3: here BD || AC

step 4: draw CD

now, AD=BC and AC||BD, so ACBD is a isoscale trapizoid

we know diagonals of isoscale trapizoid intersect each other at half.

so, AB is the bisector of CD. (Proved)