Write the Midpoint formula TWO times. Find the midpoint ... · PO1. Determine how to find the...
Transcript of Write the Midpoint formula TWO times. Find the midpoint ... · PO1. Determine how to find the...
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1I_MidpointFormula.notebook
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August 27, 2012
GeometryLesson 1IMidpoint Formula
TLW calculate midpoints in the coordinate plane.
High School Math Standards
Strand 4: Geometry and MeasurementConcept 3: Coordinate Geometry
PO1. Determine how to find the midpoint between two points in the coordinate plane.
2008
Given two points (x1 , y1 ) and (x2 , y2 ), the midpoint between the points can be found using the formula
Write the Midpoint formula TWO times. Find the midpoint between (6, 8) and (2,11)
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1I_MidpointFormula.notebook
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August 27, 2012
What is the midpoint between the given points?
example: and( , ) ( , )5 108 14
5 10 8 14
What is the midpoint between the given points?
example: ( , ) ( , )4 1020 15and
4 10 20 15
New situation You are given one endpoint and the midpoint. Where is the other endpoint located?
BM
A
How do you find the endpoint graphically?
M (3, 4) is the midpoint of . The coordinates of A are ( 5, 3 ). What are the coordinates of B?
B
A
M
graphically
M (3, 4) is the midpoint of . The coordinates of A are ( 5, 3 ). What are the coordinates of B?
algebraically
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1I_MidpointFormula.notebook
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August 27, 2012
M (3, 1) is the midpoint of . The coordinates of A are ( 4, 2 ). What are the coordinates of B?
B
A
M
graphically
M (3, 1) is the midpoint of . The coordinates of A are ( 4, 2 ). What are the coordinates of B?
algebraically
algorithmAlgorithm for finding endpoint given one endpoint and a midpoint
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Attachments
MidptCoordPlane.tns
SMART Notebook
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