Question

from unit 1, lesson 7 this diagram shows the beginning of a straightedge and compass construction of a rectangle. the construction followed these steps: a. start with two marked points a and b. b. use a straightedge to construct line ab. c. use a previous construction to construct a line perpendicular to line ab passing through a. d. use a previous construction to construct a line perpendicular to line ab passing through b. e. mark a point c on the line perpendicular to line ab passing through a. explain the steps needed to complete this construction.

Explanation:

Step1: Measure distance AC

Use the compass to measure the length of the line - segment AC.

Step2: Transfer distance

With the compass width set to the length of AC, place the compass at point B and draw an arc that intersects the line perpendicular to AB passing through B. Mark the intersection point as D.

Step3: Complete rectangle

Use a straightedge to draw line - segments CD and AD. The figure ABCD is a rectangle.

Answer:

1. Use the compass to measure the length of AC.
2. Place the compass at B with the width equal to AC and draw an arc to intersect the perpendicular line at B, mark the intersection as D.
3. Draw line - segments CD and AD to form the rectangle ABCD.