Question

unit 1 lesson 2 cumulative practice problems

1. 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 to AB

Place the compass on point A and extend it to point B.

Step2: Draw circles

With the compass set to width AB, draw a circle centered at point A and a circle centered at point B.

Step3: Mark intersection points

The two circles intersect at two points, mark them as C and D.

Step4: Draw line CD

Use a straightedge to draw the line passing through points C and D.

Answer:

First, set the compass width to the distance between A and B. Then draw circles centered at A and B with that radius. Mark the intersection - points of the two circles as C and D. Finally, use a straightedge to draw the line CD.