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13 Use Midpoint and Distance Formulas.notebook
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August 27, 2014
13
Use Midpoint and
Distance Formulas
ProofofMichaelJacksonsGhost_Scarynewrawfootage_.avi
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13 Use Midpoint and Distance Formulas.notebook
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August 27, 2014
Midpoint Formula
A(x1,y1), B(x2,y2)
m of AB = x1 + x2 , y1 + y22 2( (
or
(Average the x's, Average the y's)
Midpoint of 2 points
A M B
AM = MB ? How do you show midpoint on the diagram?
Segment Bisector A point, line, line segment, or plane that intersects the segment at its midpoint.
EX.
A B
C
D
CD is a segment bisector AB
If told this, make sure you label your diagram accordingly!
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13 Use Midpoint and Distance Formulas.notebook
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August 27, 2014
Y
A
B
X
1.) A(7,4) B(1,2)
midpoint = ?
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August 27, 2014
2.) E(1,2) F(5,4)
3.) Point C is the midpoint of BD. Find BC ifBC = 3x 2 and CD = 2x + 3.
B C D
4.) The midpoint of XZ is M(5,6). One endpoint is X(3,7). Find the coordinates of endpoint Z.
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August 27, 2014
Where are midpoints used?
http://home.howstuffworks.com/homeimprovement/decorating/choosingaquariumequipment14.htm
http://home.howstuffworks.com/home-improvement/decorating/choosing-aquarium-equipment14.htm
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Distance Formula
d = √(x2 x1)2 + (y2 y1)2
Check out this video!
X
BA
Y
Find AB
Example:
http://videos.howstuffworks.com/businessandmoney/mathematicsvideosplaylist.htm
http://videos.howstuffworks.com/business-and-money/mathematics-videos-playlist.htm
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August 27, 2014
X
Y
Find AB
Do you need to graph the points to find the distance?
Example
Interactive distance formula site!
http://www.mathwarehouse.com/algebra/distance_formula/interactivedistanceformula.php
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13 Use Midpoint and Distance Formulas.notebook
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August 27, 2014
http://www.classzone.com/cz/books/geometry_2011_na/resources/applications/animations/explore_learning/dswmedia/anm503/anm503.html
Try this activity on your classzone site:
http://www.classzone.com/cz/books/geometry_2011_na/resources/applications/animations/explore_learning/dswmedia/anm503/anm503.html
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13 Use Midpoint and Distance Formulas.notebook
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August 27, 2014
Homework:
p. 1922/115 Odd (draw and label #9), 19, 21, 25, 33, 34,
4143
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Attachments
ProofofMichaelJacksonsGhost_Scarynewrawfootage_.avi
SMART Notebook
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