Determining a Point Dividing a given Line Segment, Internally in the given Ratio M : N
Let AB be the given line segment of length x cm. We are required to determine a point P by dividing it internally in the ratio m : n.
Construction of a Tangent at a Point on a Circle to the Circle when its Centre is not Known
If the centre of the circle is not known, then we first find the centre of the circle by drawing two non-parallel chords of the circle. The point of intersection of perpendicular bisectors of these chords gives the centre of the circle. Then we can proceed as above.
Construction of a Tangents from an External Point to a Circle when its Centre is Known
Steps of Construction:
Construction of a Tangents from an External Point to a Circle when its Centre is not Known
If the centre of the circle is not known, then we first find the centre of the circle by drawing two non-parallel chords of a circle. The point of intersection of perpendicular bisectors of the chords gives the centre of the circle. Then we can proceed as above.
Construction of a Triangle Similar to a given Triangle as per given Scale Factor m/n, m < n.
Let ΔABC be the given triangle. To construct a ΔA’B’C’ such that each of its sides is m/n (m < n) of the corresponding sides of ΔABC.
Steps of Construction:
Construction of a Triangle Similar to a given Triangle as per given Scale Factor m/n, m > n.
Let ΔABC be the given triangle and we want to construct a ΔAB’C’, such that each of its sides is m/n (m > n) of the corresponding side of ΔABC.
Steps of Construction:
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