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Lesson 1-3

Use Midpoint and Distance Formula. Lesson 1-3. Warm Up. Find a point between A(-3,5) and B(7,5). Find the average of -11 and 5. Solve Find 30 to the nearest hundredth. Find 5 +20 to the nearest hundredth. Midpoint. Definition:. A point that divides a segment into

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Lesson 1-3

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  1. Use Midpoint and Distance Formula Lesson 1-3

  2. Warm Up • Find a point between A(-3,5) and B(7,5). • Find the average of -11 and 5. • Solve • Find 30 to the nearest hundredth. • Find 5 +20 to the nearest hundredth.

  3. Midpoint Definition: A point that divides a segment into two congruent segments

  4. G H I J K L N O P Q R S -5 5 Midpoint on Number Line - Example Find the coordinate of the midpoint of the segment PK. M 0 Now find the midpoint on the number line.

  5. Segment Bisector Definition: Any segment, line or plane that divides a segment into two congruent parts is called segment bisector.

  6. Identify the segment bisector of PQ . Then find PQ. 1. ANSWER MN; 3 3 4 Practice

  7. Identify the segment bisector of PQ . Then find PQ. 2. 5 ANSWER line l ; 11 7 Practice

  8. Homework #3 p. 870: 13-20p. 19: 1-16, 48, 55, 56, 60-64

  9. Midpoint Formula The coordinates of the midpoint of a segment are the averages of the x-coordinates and of the y coordinates of the endpoints. If A(x1,y1) and B(x2,y2) are points in a coordinate plane, then the midpoint M of AB has coordinates

  10. The endpoints of ABare A(1, 2) andB(7, 8). Find the coordinates of the midpoint M. ANSWER (4,5) The midpoint of VWis M(– 1, – 2). One endpoint is W(4, 4). Find the coordinates of endpoint V. ANSWER (– 6, – 8) Practice

  11. Distance Formula If A(x1,y1) and B(x2,y2) are points in a coordinate plane, then the distance between A and B is

  12. Lesson 1-2: Segments and Rays

  13. Practice

  14. Homework #4 P. 19: 17-27, 31-37, 41, 42, 49-52

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