Question

b) explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as ab

Explanation:

First, place the compass at point A and set its width to the length of segment AB. Draw an arc. Then, without changing the compass - width, place the compass at the intersection of the arc and the line (away from A) and draw another arc. The distance from A to the new intersection point is a line - segment that is twice as long as AB. Using a straightedge, draw a line connecting A to this new point.

Answer:

First, set compass width to AB length and draw an arc from A. Then, from the arc - intersection, draw another arc with same compass width. Connect A to the new intersection with a straightedge to get a segment twice as long as AB.