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Section 3-2 Constructing Perpendicular Bisectors

Learn how to construct perpendicular bisectors & explore geometric relationships using basic methods with Patty Paper, compass, and straight edge. Discover the significance of equidistance & bisectors in triangles.

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Section 3-2 Constructing Perpendicular Bisectors

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  1. Section 3-2Constructing Perpendicular Bisectors

  2. Basic Constructions • With Patty Paper • Construct a Perpendicular Bisector

  3. Basic Constructions • With Compass and Straight Edge • Construct a Perpendicular Bisector

  4. Draw this picture • If a point is equidistant from the endpoints of a segment, then it is on the _____________________

  5. Two new terms

  6. With Patti Paper • Construct triangle ALI. • Construct the perpendicular bisectors of each side. • What do you notice about the three bisectors?

  7. With Patti Paper • Construct triangle ABC. • Construct medians AM, BN, and CL. perpendicular bisectors of each side. • Do you notice anything special?

  8. With Patti Paper • Construct triangle DEF • Construct midsegment GH, where G is the midpoint of side DE and H is the midepoint of side DF. • What do you notice about the relationship between segments EF and GH?

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