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Geometry Chapter 5

Geometry Chapter 5. Perpendicular and Angle Bisectors. Learning Targets. Students will be able to… Prove and apply theorems about perpendicular bisectors. Prove and apple theorems about angle bisectors. Warm-up. Draw 2 perpendicular lines. Draw an angle bisector. Draw 2 parallel lines.

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Geometry Chapter 5

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  1. Geometry Chapter 5 Perpendicular and Angle Bisectors

  2. Learning Targets • Students will be able to… • Prove and apply theorems about perpendicular bisectors. • Prove and apple theorems about angle bisectors.

  3. Warm-up Draw 2 perpendicular lines. Draw an angle bisector. Draw 2 parallel lines.

  4. Go Over Chapter 4 Test Check grades, tests, and homework packets

  5. 5.1 Vocabulary X A B

  6. 5.1 Vocabulary X A B

  7. Construction

  8. Construction

  9. Construction

  10. Beyond just Construction

  11. 5.1 Notes X A B If Distance and Perpendicular Bisectors

  12. 5.1 Notes X Then A B If Distance and Perpendicular Bisectors

  13. Applying the Theorem and Converse Find the measure. 1. Find MN 2. Find BC 3. Find TU

  14. Theorems A C P B Distance and Angle Bisectors

  15. Theorems A C P B Distance and Angle Bisectors

  16. Applying the Angle Bisector Theorems Find the measure. 1. BC 2.

  17. Applying the Angle Bisector Theorems Find the measure. 3.

  18. Example 4: Writing Equations of Bisectors in the Coordinate Plane A. Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints A(-1, 6) and B(3, 4). Step 1: Find the midpoint. Step 2: Find the slope of the perpendicular bisector (opp. reciprocal) Step 3: Write in point-slope form (use the midpoint as a point)

  19. Extra Practice

  20. Extra Practice

  21. Extra Practice

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