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Learning intentions:
In this section we will examine:
- How determine the midpoint of a line segment.
The midpoint of a line segment
When a line is drawn between the points A(x1, y1) and B(x2, y2), the midpoint is the point on the line which bisects A and B (divides A and B in half). Essentially, the midpoint will be half way between the two given x-values and the two corresponding y-values. Therefore:
MAKE DIAGRAM
Finding the midpoint given two endpoints
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2E - EXAMPLE 1:
What are the coordinates of the midpoint between the points (2,7) and (8,19)?
Finding an endpoint given the midpoint and an endpoint
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Further applications of midpoints
Finding the coordinates that divide a line in 3 equal segments.
RESOURCES
- http://www.onlinemathlearning.com/midpoint-formula.html
- http://www.bbc.co.uk/schools/gcsebitesize/maths/geometry/linesegmentsrev2.shtml
- http://www.regentsprep.org/regents/math/geometry/gcg2/pracMid.htm
- http://www.mathwarehouse.com/geometry/interactive-midpoint-applet.php
- https://www.mathsisfun.com/algebra/line-midpoint.html
- http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/add_13.2c.pdf
Success criteria:
You will be successful if you can:
- Calculate the midpoint of a line segment.
- Apply knowledge of the midpoint formula to unfamiliar contexts.
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