distance and midpoint formulas find the distance between two randomly selected points
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![Page 1: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/1.jpg)
Distance and Midpoint FormulasFind the distance between two randomly selected points.
x x2 1
x y1 1,b g
x y2 2,b g
a b c2 2 2
x x2 1
2b gy y2 1
d x x y y 2 1
2
2 1
2b gb g
y y2 1
2b g c2
x x y y c2 1
2
2 1
2 b gb g
![Page 2: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/2.jpg)
Distance and Midpoint FormulasFind the distance between two points using the distance formula.
d x x y y 2 1
2
2 1
2b gb gd +
2b gb g2
d b gb g2 2
25 5
3 0 0 4
1 3 0. , , 0,4bgb g
3 4 9 16
![Page 3: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/3.jpg)
Distance and Midpoint FormulasFind the distance between two points using the distance formula.
d x x y y 2 1
2
2 1
2b gb gd +
2b gb g2
d bgb g2 2
8 2 8.
4 2 5 3
2 4 5. , , 2,3bgbg
2 2 4 4
![Page 4: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/4.jpg)
Distance and Midpoint FormulasFind the distance between two points using the distance formula.
d x x y y 2 1
2
2 1
2b gb gd +
2b gb g2
d bgb g2 2
29 5 4.
1 4 bg 4 2
3 4 2 1 4. , , , b gbg
5 2 25 4
![Page 5: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/5.jpg)
Distance and Midpoint Formulas4. From your home, you ride your bicycle 8 miles east, then 15 miles south. How far are you from your home?
16 14 12 10 8 6 4 20246810121416
a b c2 2 2 8 152 2 2 c
64 225 2c289 2c
c 289 17 miles
![Page 6: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/6.jpg)
FHG
IKJ2 2
,
Distance and Midpoint FormulasFind the midpoint between the two points.
x x y y1 2 1 2
2 2
FHG
IKJ,
5 1 3 4 5. , , , bgbg1
5
Midpoint is like finding the average.
4 3 5
2 2,F
HGIKJ
8FHG
IKJ
5
24,
![Page 7: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/7.jpg)
FHG
IKJ2 2
,
Distance and Midpoint FormulasFind the midpoint between the two points.
x x y y1 2 1 2
2 2
FHG
IKJ,
6 6 1 4 1. , , , bgb g
6
2
Midpoint is like finding the average.
4bg1 1bg
2 2,F
HGIKJ
0 1 0,bg
![Page 8: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/8.jpg)
FHG
IKJ2 2
,
Distance and Midpoint FormulasFind the midpoint between the two points.
x x y y1 2 1 2
2 2
FHG
IKJ,
7 6 0 0 2. , , , bgbg6
6
Midpoint is like finding the average.
0 0 2
2 2,F
HGIKJ
2 31,bg
![Page 9: Distance and Midpoint Formulas Find the distance between two randomly selected points](https://reader036.vdocuments.mx/reader036/viewer/2022082505/56649e6b5503460f94b69749/html5/thumbnails/9.jpg)
Distance and Midpoint Formulas