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How does midpoint and distance formula fit into the big picture of math?
The mid-point is needed when the perpendicular bisector equation of a straight line is required. The distance formula is used when the length of a line is required.
What is the definition of distance from point to line?
It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.
What was Euclid's second postulate?
Euclid's second postulate allows that line segment to be extended farther in that same direction, so that it can reach any required distance. This could result in an infinitely long line.
How does the distance of the object compare with the distance of the image from the plane mirror?
The distance of the object from the mirror line should equal the distance of the image from the mirror line.
Is the shortest distance from a point to a line the distance measured along the perpindicular from the point to the line?
Yes.
