David constructed ABC and needs to double the angle by constructing a copy of the angle using ray BA as one of the sides of the new angle. He has constructed and arc, as appears in the image.

Question

Why next step must he take to construct a copy of the angle using ray BA?

a. He must measure the distance between point B and point C using a compass
b. He must measure the distance between point A and point C using a compass
c. He must measure the distance between point B and the arc using a compass
d. He must draw an arc that intersects the larger arc by placing the pointed end on point A

Answer 1

To double the angle \( \angle ABC \) by using ray \( BA \) as one of the sides of the new angle, David should follow the process of copying the angle.

The next step that David must take, after constructing the arc around \( C \), involves placing the compass pointer at point \( A \) to create a new arc that intersects the previous arc. This is essential for establishing a point on the new ray that helps to define the angle.

Thus, the correct answer is:

d. He must draw an arc that intersects the larger arc by placing the pointed end on point A.