distance formula mrs. king geometry unit 12, day 8
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Distance Formula
Mrs. King
Geometry
Unit 12, Day 8
Getting Started…
Kayleigh walks to a friend’s house by traveling 5 blocks west and then 12 blocks north. She returns home later by cutting diagonally through her neighbors’ yards. What distance did she travel on her voyage home?
Kayleigh’s Journey…222 cba 222 125 c214425 c
2169 c2169 c
c135
1213
Distance on the coordinate plane The distance between two points and
on the coordinate plane (graph) can be found using the formula:
221
221 yyxxd
11, yx 22 , yx
http://www.bsin.k12.nm.us/schools/BHS/math/joinmath/geometry/GEO1_3.pps#257,4,Slide 4
Find the distance between (-3, 2) and (4, 1)
x1 = -3, x2 = 4, y1 = 2 , y2 = 1
( 3 4)2 (2 1)2d =
( 7)2 (1)2 49 1d =
50 or 5 2 or 7.07d =
2 22 1 2 1( ) ( )x x y y
Example:
http://teachers.henrico.k12.va.us/math/igo/01Fundamentals/1-3Formulas/LECTURE1-3.ppt#259,3,The Distance Formula
Homework
Work Packet: Distance Formula
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