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Unit 1 Using Midpoint and Distance Formulas

Unit 1 Using Midpoint and Distance Formulas. Midpoint:. Point in the middle of a segment. A. M. B. M is the midpoint of. Point, line, or segment that cuts a segment in half. Segment bisector:. C. A. M. B. A. M. B. pt. M bisects. D. bisects. Perpendicular:.

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Unit 1 Using Midpoint and Distance Formulas

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  1. Unit 1 Using Midpoint and Distance Formulas

  2. Midpoint: Point in the middle of a segment A M B M is the midpoint of

  3. Point, line, or segment that cuts a segment in half Segment bisector: C A M B A M B pt. M bisects D bisects

  4. Perpendicular: Line that intersects at a right angle C A B D

  5. Perpendicular Line or segment that bisects a segment Perpendicular bisector: C A M B D

  6. Length between two points Distance: Measured in units AB Lines that never intersect.

  7. 1. Line bisects the segment. Find the indicated length. 17cm 17cm DF = 34cm

  8. 1. Line bisects the segment. Find the indicated length. 1 2 16 GJ = in

  9. 2. M is the midpoint of the segment. Find the indicated length. Find MF. 7x – 6 = 5x MF = 5(3) = 15u – 6 = -2x 3 = x

  10. 2. M is the midpoint of the segment. Find the indicated length. Find LN. 11x – 21 = 8x + 15 LN = 11(12)-21 + 8(12)+15 3x – 21 = 15 = 132 – 21 + 96 +15 3x = 36 = 222u x = 12

  11. 3. Find the midpoint and distance of AB, where A(2, 5) and B(2, -3). A M(2, 1) M B

  12. 3. Find the midpoint and distance of AB, where A(2, 5) and B(2, -3). AB = 8u A B

  13. 4. Find the midpoint and distance of AB, where A(-3, 4) and B(7, 4). M(2, 4) A M B

  14. 4. Find the midpoint and distance of AB, where A(-3, 4) and B(7, 4). AB = 10u A B

  15. 5. Find the midpoint and distance of AB, where A(5, 8) and B(1, 2). A M M(3, 5) B

  16. 5. Find the midpoint and distance of AB, where A(5, 8) and B(1, 2). 42 + 62 = c2 A 16 + 36= c2 c 6 52= c2 4 = c B AB = u

  17. Midpoint Formula: Remember! Your answer should be an ordered pair!

  18. Distance Formula: Don’t forget your units!

  19. 6. Find the midpoint and distance of AB, where A(-6, 2)and B(-2, -3). Midpt Distance (-2 – (-6))2 (-3 – 2)2 + (4)2 + (-5)2 16 + 25 u

  20. 7. Find the midpoint and distance of AB, where A(-1, 2)and B(3, 4). Midpt Distance (3 – (-1))2 (4 – 2)2 + (4)2 + (2)2 16 + 4 u

  21. The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. Q P S R

  22. The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. (-2 – 2)2 (0 – (-3))2 + (-1 – 4)2 (6 – 3)2 + (-4)2 + (3)2 (3)2 (-5)2 + 16 + 9 + 9 25 Not 

  23. HW Problem # 15 SU = 2(20+15) x + 15 = 4x – 45 15 = 3x – 45 SU = 2(35) 60 = 3x SU = 70u 20 = x

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