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Geometry

Geometry. Chapter 5.1: Perpendiculars and Bisectors. Learning Outcomes. I will be able to identify perpendicular bisectors and angle bisectors. I will be able to use the perpendicular bisector theorem and angle bisector theorem to find missing measurements. Turn to page 264.

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Geometry

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  1. Geometry Chapter 5.1: Perpendiculars and Bisectors

  2. Learning Outcomes I will be able to identify perpendicular bisectors and angle bisectors. I will be able to use the perpendicular bisector theorem and angle bisector theorem to find missing measurements.

  3. Turn to page 264. • Take 5 minutes to read through section 5.1 and write down the four major theorems in the section.

  4. Think – Pair – share • Take 5 minutes to discuss what these theorems mean. • Turn to page 268 and see if you understand how to use these theorems to complete the homework section that we’re skipping.

  5. Perpendicular Bisector Theorem

  6. Angle Bisector Theorem

  7. Practice

  8. Paper Ball On a half-sheet of paper, write numbers 1 – 6 and answer the following questions. MAKE SURE TO EXPLAIN YOUR REASONING!

  9. In your notes First DRAW the diagram and then answer the questions.

  10. Geometry Chapter 5.2: Bisectors of a Triangle

  11. Learning Outcomes • I will be able to find the points of concurrency for perpendicular bisectors and angle bisectors of a triangle. • I will be able to use properties of circumcenter or incenter to find missing measurements of a triangle.

  12. Activity • Listen to all instructions before moving. • Get in groups of 3. Each member picks a color Red, Blue or Silver. If you don’t have a group come to the front of the classroom. • One person grab 2 pieces of trace paper for each member of the group. Another should grab a protractor. • You will each draw a different triangle ABC • Reds: Will draw an obtuse triangle labeled ABC. • Blues: Will draw a right triangle labeled ABC • Silvers: Will draw an acute triangle labeled ABC. • Read section 5.2 and wait for further instructions.

  13. Activity • Take a minute to analyze the similarities and differences in your drawings.

  14. Perpendicular Bisectors of Triangle.

  15. Activity • Listen to all instructions before moving. • Get back into your groups of 3. • You will each draw a different triangle ABC • Reds: Will draw an acute triangle labeled ABC. • Blues: Will draw a obtuse triangle labeled ABC • Silvers: Will draw an right triangle labeled ABC. • Wait for further instructions.

  16. Activity • Take a minute to analyze the similarities and differences in your drawings.

  17. Angle Bisectors of a Triangle

  18. Practice – In Your Notes

  19. How might we use this in the real world? • The state of Colorado is looking to make a large medical research facility that benefits Ft. Collins, Boulder and Greeley. The facility will be used to assist with advanced medical emergencies. The problem is the three cities can’t decide on a fair place to build the facility. It is your job to determine the best location for the facility.

  20. How might we use this in the real world?

  21. Exit Ticket Homework Pg. 275: 3, 4, 10-19, 34-40 • On a half-sheet of paper. (You can give the other half to the person next to you if you want.)

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