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

Answer 1

The next step in constructing a copy of angle BAC is to draw an arc with center at point A and radius equal to the length of segment BD.

Step-by-step explanation:

To construct a copy of angle BAC using a compass and straightedge, the next step after constructing angle BAC and placing point D at one end of an auxiliary segment is to use the compass to replicate the arc that defines the angle size. The correct step is: Draw an arc with center at point A and radius equal to the length of segment BD. This step will ensure that the arc on the copy has the same radius as the original, and thus, the same angle measure when lines are drawn from the points where the arc intersects the rays of the angle to the vertex.