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 Where do math teachers slip? Deci-malls (decimals)! 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 5.1 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. 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 Distance and Perpendicular Bisectors What do you predict, the Converse of the Perpendicular Bisector Theorem to say? Example 1: MN = LN Example 2: Find BC Example 3: Find TU Example 4: Applying the Angle Bisector Theorem Find BC Example 5: Applying the Angle Bisector Theorem Find the measure: m<EFH, given that m< EFG = 50° Example 5 Applying the Angle Find m<MKL. Exit Ticket Use the diagram for Items 1–2. 1. Given that mABD = 16°, find mABC. 2. Given that mABD = (2x + 12)° and mCBD = (6x – 18)°, find mABC. 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.