Presentation (distance formula)
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The document discusses the distance formula. It explains how to calculate the distance between two points (x1, y1) and (x2, y2) using the formula: Distance = √(x2 - x1)2 + (y2 - y1)2. It provides an example of calculating the distance between points (3,2) and (8,7), which equals 5. The document also contains instructions for students to practice using the distance formula to find distances between various point coordinates, and assignments to graph points and calculate distances using the formula.
Presentation (distance formula)
- 2. Plot these coordinates on our Cartesian plane. (3,2) (8,7) (8,2)
- 9. AC is plotted on the x- axis.
- 10. Find the difference of the two coordinates in x axis. x2-x1 x2=8 x1=3 =8 – 3 =5
- 11. AC is plotted on the x- axis. BC is plotted on the y-axis
- 12. Find the difference of the two coordinates in x axis. y2-y1 y2=7 y1=2 =7 – 2 =5
- 13. PYTHAGOREAN THEOREM c a b
- 14. 푐 = 푥2 − 푥1 2 + (푦2 − 푦1)2
- 15. DISTANCE FORMULA
- 16. SUBSTITUTION METHOD By substitution: 퐷 = 푥2 − 푥1 2 + (푦2 − 푦1)2 퐷 = 5 2 + 5 2 퐷 = 50
- 17. ACTIVITY #1 • Graph and show that the following coordinates forms an isosceles triangle by using the distance formula. S (-1,4) C (0,1) B (2,5)
- 21. 퐶퐵 = 푥2 − 푥1 2 + (푦2 − 푦1)2 = 2 − 0 2 + (5 −1)2 = 4 + 16 = 20 =5 2
- 22. 퐵푆 = 푥2 − 푥1 2 + (푦2 − 푦1)2 = 2 + 1 2 + (5 −4)2 = 10
- 23. QUIZ#6 Get ½ crosswise sheet of paper and answer the following. Find the distance between the given points. 1. (0,9) and (0,13) 2. (4,5) and (-3,5) 3. (8,1) and (8,-2) 4. (1,0) and (5,2) 5. (5,-4) and (1,-1)
- 24. ASSIGNMENT A. Graph and Find the distance using distance formula. I (-4,6) and V (2,5) Y (-1,6) and S (5, 10) B. Make a research on midpoint and give at least 2 examples.