Presentation (distance formula)
-
Upload
cavite-state-university-imus-campus -
Category
Documents
-
view
109 -
download
3
Transcript of Presentation (distance formula)
![Page 1: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/1.jpg)
DISTANCE FORMULA
![Page 2: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/2.jpg)
Plot these coordinates on
our Cartesian plane.
(3,2)
(8,7)
(8,2)
![Page 3: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/3.jpg)
![Page 4: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/4.jpg)
![Page 5: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/5.jpg)
![Page 6: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/6.jpg)
![Page 7: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/7.jpg)
![Page 8: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/8.jpg)
RIGHT TRIANGLE
![Page 9: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/9.jpg)
AC is
plotted on
the x- axis.
![Page 10: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/10.jpg)
Find the difference of the two
coordinates in x axis.
x2-x1
x2=8
x1=3
=8 – 3
=5
![Page 11: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/11.jpg)
AC is
plotted on
the x- axis.
BC is plotted on the y-axis
![Page 12: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/12.jpg)
Find the difference of the two
coordinates in x axis.
y2-y1
y2=7
y1=2
=7 – 2
=5
![Page 13: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/13.jpg)
PYTHAGOREAN
THEOREM
c
a
b
![Page 14: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/14.jpg)
𝑐 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
![Page 15: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/15.jpg)
DISTANCE FORMULA
![Page 16: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/16.jpg)
SUBSTITUTION METHOD
By substitution:
𝐷 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
𝐷 = 5 2 + 5 2
𝐷 = 50
![Page 17: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/17.jpg)
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)
![Page 18: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/18.jpg)
![Page 19: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/19.jpg)
![Page 20: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/20.jpg)
![Page 21: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/21.jpg)
𝐶𝐵 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
= 2 − 0 2 + (5 −1)2
= 4 + 16
= 20
=5 2
![Page 22: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/22.jpg)
𝐵𝑆 = 𝑥2 − 𝑥12 + (𝑦2 − 𝑦1)
2
= 2 + 1 2 + (5 −4)2
= 10
![Page 23: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/23.jpg)
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)
![Page 24: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/24.jpg)
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.
![Page 25: Presentation (distance formula)](https://reader034.fdocuments.us/reader034/viewer/2022042607/55952d0c1a28ab6d7f8b45e0/html5/thumbnails/25.jpg)