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IT IS….TUESDAY!!!

IT IS….TUESDAY!!! . Take out your homework and a red pen Take out a piece of binder paper and your whiteboard marker . 5.1: Perpendicular and Angle Bisectors . Learning Objective: SWBAT prove and apply theorems about perpendicular and angle bisectors . Math Joke of the Day.

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IT IS….TUESDAY!!!

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  1. IT IS….TUESDAY!!! Take out your homework and a red pen Take out a piece of binder paper and your whiteboard marker

  2. 5.1: Perpendicular and Angle Bisectors Learning Objective: SWBAT prove and apply theorems about perpendicular and angle bisectors

  3. Math Joke of the Day Where do math teachers slip? Deci-malls (decimals)!

  4. WHITEBOARDS 1. Write and solve an inequality for x. 2x – 3 < 25; x < 14 2. Solve to find x and y in the diagram. x = 9, y = 4.5

  5. 5.1 Perpendicular and Angle Bisectors Using the root words in equidistant, what do you picture this word means? Equidistant A point that is the same distance from two or more objects.

  6. Think - Pair - Share Fire stations are located at A and B. XY, which contains Havens Road, represents the perpendicular bisector of AB . A fire is reported at point X. Which fire station is closer to the fire? Explain. The city wants to build a third fire station so that it is the same distance from the stations at A and B. How can the city be sure that this is the case?

  7. Distance and Perpendicular Bisectors What do you predict, the Converse of the Perpendicular Bisector Theorem to say?

  8. Example 1: MN = LN

  9. Example 2: Find BC

  10. Example 3: Find TU

  11. Example 4: Applying the Angle Bisector Theorem Find BC

  12. Example 5: Applying the Angle Bisector Theorem Find the measure: m<EFH, given that m< EFG = 50°

  13. Example 5 Applying the Angle Find m<MKL.

  14. Exit Ticket • Use the diagram for Items 1–2. • Given that mABD= 16°, • find mABC. • 2. Given that mABD= (2x + 12)° and mCBD= (6x – 18)°, find mABC.

  15. Use the diagram for Items 3–4. 3. Given that FH is the perpendicular bisector of EG, EF = 4y – 3, and FG = 6y – 37, find FG. 4. Given that EF = 10.6, EH = 4.3, and FG = 10.6, find EG.

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