Practical Geometry

Category : 7th Class

PRACTICAL GEOMETRY

 

FUNDAMENTALS

  •           A ruler protractor and compass are used for constructions.
  •           Given a line 1 and a point P not on it, a line parallel to 1 can be drawn through the point P, using the idea of 'equal alternate angles' or 'equal corresponding angles'.
  •           Students should draw rough sketch before actually constructing the triangle. This is very important for students to get the feel of the triangle.
  •           Three independent measurements are required to construct a triangle.
  •           The sum of lengths of any two sides of a triangle is greater than its third side»
  •           The difference of lengths of any two sides of a triangle is lesser than its third side.
  •           The sum of angles in a triangle is\[180{}^\circ \].
  •           The exterior angle of a triangle is equal in measure (i.e. is equal to the sum) of interior opposite angles.
  •           The following cases of congruence of triangles, help us construct the triangle.

(a) S.S.S: A triangle can be drawn given the lengths of its three sides.

(b) S.A.S: A triangle can be drawn given the lengths of any two sides and the measure of the angle between them.

(c) A.S.A: A triangle can be drawn given the measures of two angles and the length of the side included between them.

(d) R.H.S: A right angled triangle can be drawn given the length of hypotenuse and the length of one of its legs.

 

 

Other Topics

Notes - Practical Geometry
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