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Basic numeracy, concepts of geometry
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Basic Numeracy
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Point
A point is defined by its position. It has no length, width or thickness. A straight line
joining two points is the shortest distance between them. Three or more points are
said to be collinear, if there is a line which contains all of them.
Line
A line is defined by its length and has no breadth. It has length units. (metre, foot,
centimetre kilometre, etc.).
A line contains infinite points. Through a given point, there pass infinite lines. One
and only one straight line passes through two distinct points. Three or more lines
are said to be concurrent, if they pass, through one point and that point is called the
point of concurrence. Two lines are said to be intersecting lines, if they have a
common point.
Concept of Geometry
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Perpendicular Bisector
It is the line passing through the mid point of the side of a triangle and
perpendicular to it. All the three perpendicular bisectors of a triangle meet at a
point called the circumcentre of the triangle. The circumcentre is the centre of a
circle which can be perfectly circumscribed about the triangle. The circumradius =
PC = QC = RC and Ð QCR = 2 Ð P. In D PQR the angle bisectors meet at
circumcentre C. Also, D, E and F are mid points of QR, RP and PQ respectively.
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