Follow Construction Instructions

Author:
AJ Storck

Construction #1: Circle and Radius

Complete the following steps: 1) Using the POINT TOOL, place three points in the box below (Points A, B, and C) 2) Using the SEGMENT TOOL, draw segment AB 3) Using the COMPASS TOOL, create a circle with radius AB and center point C Tip: To make a circle with radius AB using the COMPASS TOOL, click on point A then point B

Using the MOVE TOOL, move point B in the problem above to change the radius of circle C. How does the radius affect the circle?

Construction #2: Intersecting Circle and Line

Complete the following steps: 1) Using the COMPASS TOOL, create a circle with radius AB and centerpoint C 2) Using the POINT TOOL, mark points F and G at the intersections of circle C and segment DE 3) Using the SEGMENT TOOL, Draw triangle CFG

Construction #3: Intersecting Circles

Complete the following steps: 1) Using the COMPASS TOOL, create a circle with radius AB and centerpoint C 2) Using the COMPASS TOOL, create a circle with radius AB and centerpoint D 3) Using the SEGMENT TOOL, draw segment EF connecting the intersections of circle C and circle D

In the construction above, use the MOVE TOOL to move point B closer to point A. How does this affect line segment EF? What happens when the circles no longer intersect?