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Earn +20 ptsQ: How can you check if a point is on a given line?
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What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
Writing an equation given a slope and a point?
If the slope m is given at a point (xo, yo) of a line, then the equation of the line is given by: y - yo = m(x - xo)
Only 1 line can be drawn perpendicular to a given line at a given point?
Yes (in a Euclidean plane)..
What postulate or theorem guarantees that there is only one line that can be constructed perpendicular to a given line from a given point not on the line?
It's the theorem that says " One and only one perpendicular can be drawn from a point to a line. "
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