geometry arcs

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 angles of 60 o , 120 o and 30 o (i) Draw a line AB. (ii) With A as centre, taking any suitable radius, draw an arc which cuts AB at P. (iii) With P as centre and the same radius, cut the arc at Q. (iv) From Q, with the same radius, cut the arc at R. (v) Jo..

To construct ; given AB = 4.2 cm, BC = 5.6 cm and AC = 3.7 cm (i) Draw BC = 5.6 cm. (ii) With B as centre, draw an arc of radius 4.2 cm. (iii) With C as centre, cut the previous arc at A with another arc of radius 3.7 cm. (iv) Join AB and AC. Then is the requir..

Draw a triangle ABC. Draw its angle bisectors. The angle bisectors pass through a point. Recall the procedure to draw angle bisectors: With B as centre and with a convenient radius draw an arc of a circle to cut AB and AC at X and Y. With X and Y as centres and radius equal to mor..

To construct a perpendicular to a line from a point outside it A line AB and a point O outside it. It is required to construct a perpendicular to AB from O. (i) With O as centre, taking any suitable radius, draw an arc to cut AB at S and T. (ii) With S and T as centres and same radius, dr..

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 ..

To bisect an angle , we are required to bisect (i) With B as centre and any suitable radius draw an arc to cut AB at D and BC at E respectively. (ii) Take any radius greater than of ED, not necessarily the previous radius. (iii) With this radius, taking points D and E as centres, draw two..

To construct a right angled triangle ABC. Hypotenuse AC = 5.6 cm, BC = 4.5 cm, (i) Draw BC = 4.5 cm (ii) Construct an angle of 90 o at B (iii) With C as centre, cut the second arm of the angle with an arc of radius 5.6 cm at A, so that CA = 5.6 cm. (iv) Join AC. \ is the required..

To construct a perpendicular to a line at a point on it A line AB and a point O on it. A perpendicular to AB at O. (i) With O as centre and any suitable radius, draw arcs to cut AB at points S and T. (ii) Take radius equal to more than half the length of ST. (iii) With this radius, taking..

(i) Draw AB = 3.2 cm. (ii) With centres A and B and radius 3.2 cm, draw two arcs which intersect at O. (iii) Notice that D AOB is one of the 6 equilateral triangles. (iv) With centre O, and the same radius of 3.2 cm cut the previous pair of arcs at C and F. (v) Join AF and BC. (..