Selina Concise Mathematics Class 9 ICSE Solutions Construction of Polygons (Using ruler and compass only)
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Selina ICSE Solutions for Class 9 Maths Chapter 15 Construction of Polygons (Using ruler and compass only)
- We construct the segment AC = 7cm.
- With A as a centre and radius 5.4 cm , we draw an arc extending on both sides of AC.
- With C as centre and same radius as in step 2, we draw an arc extending on both sides of AC to cut the first arc at B and D.
- Join AB,BC,CD and DA.
ABCD is the required rhombus.
- Draw a base line AQ.
- From A take some random distance in compass and draw one are below and above the line. Now without changing the distance in compass draw one are below and above the line. These arcs intersect each other above and below the line.
- Draw the line passing through these intersecting points, you will get a perpendicular to the line AQ.
- Take distance of 4 cm in compass and mark an arc on the perpendicular above the line. Draw a line parallel to line AQ passing through through this arc.
- From point A measure an angle of 60 degree and draw the line which intersect above drawn line at some point label it as D.
- Using the procedure given in step 2 again draw a perpendicular to line AD.
- Take distance of 3 cm in compass and mark an arc on the perpendicular above the line. Draw a line parallel to line AD passing through through this arc which intersect the line AQ at some point label it as B and to other line at point C.
ABCD is the required parallelogram.
To draw the parallelogram follows the steps:
- First draw a line AB of measure 6cm. Then draw an angle of measure 450 at point A such that ∠DAB = 450 and AD = 5cm.
- Now draw a line CD parallel to the line AB of measure 6cm. Then join BC to construct the parallelogram as shown below:
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