Saadiq constructed ∠ABC and an auxiliary line where he placed point D at one end. With the help of a compass and straightedge, what next step should Saadiq do to construct a copy of ∠ABC?
Saadiq should place the compass at point B and draw an arc that intersects both ray AB and ray BC. Then, he should place the compass at the point of intersection of the arcs and draw another arc inside the angle. Finally, he should use a straightedge to draw a line connecting point A to the point of intersection of the two arcs, forming a congruent copy of ∠ABC.
To construct a copy of ∠ABC, Saadiq should follow these steps:
1. Place the compass needle at point D and adjust its width to any convenient distance.
2. Draw an arc above and below angle ABC to intersect the lines forming angle ABC at points E and F, respectively.
3. Without changing the width of the compass, place the compass needle at point E and draw an arc that intersects the previously drawn arc above angle ABC at point G.
4. With the same compass width, place the compass needle at point F and draw an arc that intersects the previously drawn arc below angle ABC at point H.
5. Draw a straight line segment connecting point G and D, and another straight line segment connecting point H and D.
6. The angle formed by the lines GD and HD is a copy of angle ABC.
By following these steps, Saadiq will be able to construct a copy of angle ABC.