Question

unit 1 lesson 2 cumulative practice problems. this diagram was created by starting with points a and b and using only straightedge and compass to construct the rest. all steps of the construction are visible. describe precisely the straightedge and compass moves required to construct the line cd in this diagram.

Explanation:

Step1: Set compass width

Set the compass width to the distance between points A and B.

Step2: Draw circles

With center A, draw a circle using the compass. Then, with center B, draw another circle with the same radius. The two circles intersect at two points, C and D.

Step3: Draw the line

Use the straight - edge to draw a line passing through the intersection points C and D.

Answer:

First, set the compass width to the length of AB. Then, draw a circle centered at A and a circle centered at B with the same radius. The intersection points of these two circles are C and D. Finally, use a straight - edge to draw the line CD.