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Showing posts from January, 2015

How to draw a perpendicular to a given line from a given point in it

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Question : Line AB is 8 cm long.  Point O is on line AB at a distance of 5 cm from A.  Draw a perpendicular to the line AB from point O. Answer : Step by step construction given below Draw the line AB 8 cm long. Mark point O on line AB at a distance of 5 cm from A. Point O is a centre and any convenient radius, draw an arc intersecting line AB. Marking intersecting points M and N. Point M and N as the centre and radius slightly larger than half of MN, draw two arcs on one side of the line AB, intersecting each other in point P. Join point P and point O. Line PO is the required perpendicular to the line AB at point O

How to divide a given line into eight equal parts

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Question : Divide line AB, 7 cm long, into four equal parts. Answer : Step by step construction given below Draw line AB 7 cm long. Point A as the centre and radius slightly larger than half of AB, draw two arcs on both the sides of the line AB. Point B as the centre and the same radius, draw arcs intersecting the former ones in points I  and J. Draw line IJ intersecting line AB in point O. Line AB divide it into two equal parts AO and OB. Now point A as the centre and radius slightly larger than half of AO, draw two arcs on both the sides of the line AO. With point O as the centre and the same radius, draw arcs intersecting the former ones in points K and L. Draw line KL intersecting line AO in point C. Line AO divide it into two equal parts AC and CO. Now point O as the centre and radius slightly larger than half of OB, draw two arcs on both the sides of the line OB. With point B as the centre an...

How to divide a given line into four equal parts

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Question : Divide line AB, 9 cm long, into four equal parts. Answer : Step by step construction given below Draw line AB 9 cm long. Point A as the centre and radius slightly larger than half of AB, draw two arcs on both the sides of the line AB. Now point B as the centre and the same radius, draw arcs intersecting the former ones in points  P and Q. Draw line PQ intersecting line AB in point O. Line AB divide it into two equal parts AO and OB. Point A as the centre and radius slightly larger than half of AO, draw two arcs on both the sides of the line AO. Now point O as the centre and the same radius, draw arcs intersecting the former ones in points R and S. Draw line RS intersecting line AO in point C. Line AO divide it into two equal parts AC and CO. Point B as the centre and radius slightly larger than half of OB, draw two arcs on both the sides of the line OB. Point O as the centre and the same radiu...