#5 Perpendicular Bisector and Midpoint
a. Create a circle with radius length AB.
b. Place the center of the circle at A.
c. Create a circle congruent to the first.
d. Place the center of this circle at B.
e. Label the intersections of these circles as C and D.
f. Create segment CD that is perpendicular to and bisects segment AB.
g. Change the color/thickness of your perpendicular bisector.
h. Show point M where the two segments intersect.
i. Use the angle tool to verify that the segments are perpendicular.
j. Use the distance tool to verify that M is the midpoint of segment AB.
Because M is the midpoint of segment AB, it must be centered between these endpoints. Why does the segment connecting C and D pass through the midpoint?