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Geometry

Geometry. 13.5 The Midpoint Formula. The Midpoint Formula. The midpoint of the segment that joins points (x 1 ,y 1 ) and (x 2 ,y 2 ) is the point. •. (6,8). •. (1,5). •. (-4,2). How does it work?. Find the coordinate of the Midpoint of BC. B (12,7) C (4,1). A. B. Midpoint:.

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Geometry

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  1. Geometry 13.5 The Midpoint Formula

  2. The Midpoint Formula The midpoint of the segment that joins points (x1,y1) and (x2,y2) is the point • (6,8) • (1,5) • (-4,2)

  3. How does it work? Find the coordinate of the Midpoint of BC. B (12,7) C (4,1) A B Midpoint: 7 ● ● 12 + 4 7 + 1 4 ● , 2 2 1 C ● 4 8 12 (8,4)

  4. Exercises Try #1-#3!! 1. A (3,5) B (7,-5) 3+7 5+(-5) (5,0) midpoint: , 2 2 2. A (0,4) B (4,3) 0+4 4+3 midpoint: 7 , (2, ) 2 2 2 3. M (3,5) A (0,1) B (x,y)

  5. Exercises 3. M (3,5) A (0,1) B (x,y) This is the midpoint To find the coordinates of B: x-coordinate: y-coordinate: 0 + x 1 + y 3 = 5 = 2 2 6 = 0 + x 10 = 1 + y (6,9) x = 6 y = 9

  6. Exercises 4. A (p,g) B (p + 4,g) 2p+4 2g midpoint: (p + 2,g) , 2 2 Do #5 and #6 on your own and check answers below: m 5. k 6. Point B: (6,1) - , 2 2

  7. 7. Given points A (5,2) and B(3,-6) show that P (0,-1) is on the perpendicular bisector of AB. In order to be on the perpendicular bisector, point P would have to be on the segment that is both perpendicular to AB and goes through it’s midpoint. (5,2) . A ● ● P M ● (0,-1) (4,-2) Midpoint of AB: ● B 5+3 2+(-6) , (3,-6) (4,-2) 2 2 2+6 4 = m = Slope of AB: 5-3 Perpendicular -2+1 -¼ = Let me explain method #2. m = Slope of PM: 4-0

  8. Homework pg. 545 WE #1-9 odd, 11,12,13, 17,19 Reminder: Makeups today 3:10

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