Question

5 from unit 1, lesson 5 noah is trying to bisect angle bac. he draws circles of the same radius with centers b and c and then uses one of the points of intersection for his ray as shown in this diagram. what mistake has noah made in his construction?

Explanation:

To bisect an angle, when drawing circles for the construction, the centers should be on the sides of the angle (\(AB\) and \(AC\)), not on points \(B\) and \(C\) (which are likely vertices of a triangle if \(BAC\) is an angle of a triangle). The correct method is to have the centers of the arcs (circles) lie on the two sides of the angle being bisected.

Answer:

Noah should have drawn the circles with centers on \(AB\) and \(AC\) (the sides of the angle \(BAC\)) instead of on \(B\) and \(C\).