Question

What is the assumption needed to begin an indirect proof of the following statement?

“An angle bisector separates an angle in two equal parts.”

An angle bisector separates an angle in two equal parts.

An angle bisector separates an angle in three equal parts.

An angle bisector does not separate an angle in three equal parts.

An angle bisector does not separate an angle in two equal parts.

Answer 1

An angle bisector does not separate an angle in two equal parts.

I love this geometry since it is from ancient times. The book namd The elements of Euclid has chapters of this geometry.

Answer 2

An angle bisector does not separate an angle in two equal parts.

Indirect Proof:
Assume what you need to prove is false, and then show that something contradictory (absurd) happens.

Answer 3

good Question. :)