Practical Geometry - Revision Notes

CBSE Class–VII Subject Mathematics
Revision Notes
Chapter –10
Practical Geometry

  • In this Chapter, we looked into the methods of some ruler and compasses constructions.
  • Given a line  l and a point not on it, we used the idea of ‘equal alternate angles’ in a transversal diagram to draw a line parallel to  l.
  • We could also have used the idea of ‘equal corresponding angles’ to do the construction.
  • Construction of Parallel Lines: Draw a line segment l and mark a point A not lying on it.
  • Take any point B on and join B to A.
  • With B as centre and convenient radius, draw an arc cutting l at C and AB and D.
  • Now with A as centre and the same radius as in above step draw an arc EF cutting AB at G.
  • Place the metal point of the compasses at C and adjust the opening so that the pencil point is at D.
  • With the same opening as in above step and with G as centre draw another arc cutting the arc EF and H.
  • Now join AH and draw a line m.
  • We studied the method of drawing a triangle, using indirectly the concept of congruence of triangles.
    The following cases were discussed:
    (i) SSS: Given the three side lengths of a triangle.
    (ii) SAS: Given the lengths of any two sides and the measure of the angle between these sides.
    (iii) ASA: Given the measures of two angles and the length of side included between them.
    (iv) RHS: Given the length of hypotenuse of a right-angled triangle and the length of one of its legs.