construction of angles

Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..

To construct angles of 60 o , 120 o and 30 o..

To construct angles of 75 o and 105 o..

To construct the triangle, given the perimeter and the base angles..

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..

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 ..

To construct an isosceles when altitude CD to the base AB is 2 cm and the vertical angle C = 90 o (1) Take any straight line XY and at any point D on it, draw cutting off DC = 2 cm. Join DC. (2) At C, on either side of DC, construct angles DCA and DCB, respec..

Construction - 4 - 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..

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 const..