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### 1.3 notes

1. 1. 1.3 Midpoint & Distance Formulas August 15, 2012 Bellwork 3.2 3.2 - 2 = 1.2 1. Find the missing length 2 C A B 2. Are DE & GH congruent, NO, DE = 24 & GH = 5 if D(-4,11), E(-4,-13), G(-14,5), H(-9,5)? 3. How do you name a plane? Must be 3 non-collinear points in 4. What is a postulate? that plane a rule that is accepted without proof 2 1 3 24 5. 2 +3 5 5 =61 2 4 3 = 4 4 +34 Aug 23­1:19 PMHW pg. 19 #4­36 evens ­24 1
2. 2. 1.3 Midpoint & Distance Formulas August 15, 2012 1.3 Midpoint and Distance Midpoint (M): point that divides the segment into 2 congruent ( ≅) segments C A D M B Segment Bisector (CD):a point, ray, line, line segment, or plane that intersects the segment at its midpoint. Aug 23­1:50 PMHW pg. 19 #4­36 evens ­24 2
3. 3. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­2:03 PMHW pg. 19 #4­36 evens ­24 3
4. 4. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­2:04 PMHW pg. 19 #4­36 evens ­24 4
5. 5. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­2:06 PMHW pg. 19 #4­36 evens ­24 5
6. 6. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­2:07 PMHW pg. 19 #4­36 evens ­24 6
7. 7. 1.3 Midpoint & Distance Formulas August 15, 2012 Midpoint Formula ( 2 , x1 + x2 y1 + y2 2 ) Aug 23­2:08 PMHW pg. 19 #4­36 evens ­24 7
8. 8. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­3:14 PMHW pg. 19 #4­36 evens ­24 8
9. 9. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­3:15 PMHW pg. 19 #4­36 evens ­24 9
10. 10. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­3:17 PMHW pg. 19 #4­36 evens ­24 10
11. 11. 1.3 Midpoint & Distance Formulas August 15, 2012 Distance Formula AB = √(x2 - x1)2 + (y2 - y1)2 or (AB)2 = (x2 - x1)2 + (y2 - y1)2 Aug 23­3:16 PMHW pg. 19 #4­36 evens ­24 11
12. 12. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­3:22 PMHW pg. 19 #4­36 evens ­24 12
13. 13. 1.3 Midpoint & Distance Formulas August 15, 2012 Aug 23­3:23 PMHW pg. 19 #4­36 evens ­24 13
14. 14. 1.3 Midpoint & Distance Formulas August 15, 2012 HW: pg 19 #4-36 evens except 24. yippee!! Aug 23­3:22 PMHW pg. 19 #4­36 evens ­24 14