Saadiq constructed angle bac and an auxiliary segment where he placed point d at one end. With the help of a compass and straightedge, what is the next step Saadiq should do to construct a copy of angle bac?

Question

Saadiq constructed angle bac and an auxiliary segment where he placed point d at one end. With the help of a compass and straightedge, what is the next step Saadiq should do to construct a copy of angle bac?
1) Draw an arc with center at point d and radius equal to the length of segment bd
2) Draw an arc with center at point b and radius equal to the length of segment bd
3) Draw an arc with center at point a and radius equal to the length of segment bd
4) Draw an arc with center at point c and radius equal to the length of segment bd

GPT-4o mini · Answer

To construct a copy of angle BAC at point D using a compass and straightedge, the next step Saadiq should take is:

1) Draw an arc with center at point D and radius equal to the length of segment BD.

This is because he wants the arc to represent the same angle as BAC. By placing the compass at point D and drawing an arc that reflects the same distance as BD, he will be able to accurately replicate the opening of angle BAC at the new location.