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Core Connections Integrated I, 2014

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Core Connections Integrated I, 2014 View details

Chapter Closure

Exercise 135 Page 634

The midpoint of a segment divides the segment in two congruent halves.

See solution.

Let's illustrate the segment AB.

To use a compass to find a point C, place the needle point of the compass at A and then open it up until it spans the length of AB.

Without changing the compass setting, move the needle point to B and make a mark to the right of B. The distance between B and the arc is equal to the distance between A and B.

Finally, use a straightedge to draw a segment from B to the arc. Where the segment and the arc intersect, we find point C. Since AB=BC, point B must be the midpoint of AC.

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