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Section 5.2 – Use Perpendicular Bisectors

Section 5.2 – Use Perpendicular Bisectors . HW: worksheet. Definitions. Perpendicular Bisector A segment, line, or ray that is perpendicular to a segment at its midpoint Equidistant Same distance. Theorems.

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Section 5.2 – Use Perpendicular Bisectors

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  1. Section 5.2 – Use Perpendicular Bisectors HW: worksheet

  2. Definitions • Perpendicular Bisector • A segment, line, or ray that is perpendicular to a segment at its midpoint • Equidistant • Same distance

  3. Theorems • If a point is on the perpendicular bisector, then it is equidistant from the endpoints. • If a point is equidistant from the endpoints, then it is on the perpendicular bisector.

  4. Example • Find AD.

  5. Section 5.3 – Use Angle Bisectors of Triangles HW: worksheet

  6. Theorems • If a point is on the bisector of an angle, then it is equidistant from the sides of the angle • If a point is equidistant from the sides of an angle, then it lies on the angle bisector

  7. Example • Find the measure of angle GFJ.

  8. Theorem • The angle bisectors intersect at a point (called the incenter) that is equidistant from all sides

  9. Example • In the following diagram, find ND.

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