Maths / Constructions / Construction of Angle and Angle Bisector
Draw an angle of 135 and bisect it. Mention the steps of construction.
| Explain Type||Explanation Content|
|Text||Draw a line AB and mark point O on it where angle is to be drawn.With O as center draw an arc (semicircle) which intersects the line AB at points H and I.Keeping the same radius as above and H as center, draw an arc which intersects the semicircle at point C. Without changing the radius as above and C as center, draw an arc which intersects the semicircle at point D. (The points C and D correspond to 60 and 120 degrees angle respectively).Now draw two arcs of same radius keeping the centers as C and D respectively which intersect at point E.Join points E and O and extend it to point X. We get the angle XOB = 90 degree.Now let’s bisect angle YOA=90 degree. Draw two arcs of same radius keeping the centers F and G respectively, which intersect at point H. Join points H and O and extend it to point Y.We get the angle YOB =135 degree.|
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)