Question

Draw a line segment and copy it to the right of the original segment. Explain your steps and justify each step used.
Bisect the original line segment from problem 1.
Draw an angle and copy it to the right of the original angle. Explain your steps and justify each step used.
Bisect the original angle from problem 3.

Answer 1

These are the basic constructions in Geometry:

* To copy a line-segment, we use a compass whose span is from one endpoint to the other

* To copy an angle, we must first draw a ray: Then, we create an arc with the same radius on both the ray and the angle we are copying.

Then, we measure the distance on the arc from one radius to the next on the original angle, and we copy that (like a line-segment) to the other angle. We then connect the intersection with another ray and, we're done!