geometry simple construction

Introduction - Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the..

Constructions are to be drawn by using ruler and compass only. It must be stressed that not all constructions are possible using a compass and straight edge alon..

Introduction - Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the..

To construct an angle equal to a given angle and a point Q on a line PQ. An angle equal to at Q. (i) With B as centre and any suitable radius draw an arc to cut AB at D and BC at E. (ii) With Q as centre and the same radius, draw an arc to cut PQ at ..

Given the perimeter and the base angles, to construct the triangle In the perimeter = 7.5 cm, and (1) Draw XY = 7.5 cm. (2) At X make an angle of..

To construct angles of 75 o and 105 o (i) Draw AB. Make any point O on it. (ii) With O as centre, draw an arc which cuts AB at B. (iii) With B as centre and same radius, cut an arc at Q and from Q with same radius, cut the arc at R. (iv) Join OQ, OR. and (v) Bisect by constructing..

To construct a triangle when the sum of two sides, the remaining side and the angle between them are given (We assume that the given angle can be constructed with ruler and compass alone) In BC = 3.8 cm, and AB + AC = 6.5 cm (1) Draw BC = 3.8 cm and at B make (2) With B as centr..

To construct a right angled D ABC when hypotenuse AC = 4 cm and hypotenuse and one acute angle are given (1) Draw a straight line AC = 4cm. (2) Taking OC as diameter, draw a semi circle on AC. (3) At A, construct meeting the semicircle at B. Join BC. (4) Then D ABC is the requir..

To construct angles of 90 o , 45 o and 135 o (i) Draw a line AB and mark any point O on it. (ii) With O as centre, draw an arc of any suitable radius which cuts AB at P. (iii) With P as centre and the same radius, cut this arc at Q. (iv) From Q, with the same radius, cut the arc again at ..

Construction - 9 - To construct a line parallel to a given line through a given point A line AB and a point O. It is required to construct a line parallel to AB through O. (i) Draw any line through O to cut AB at C. (ii) At O, construct (iii) Join PO and prod..