Q2 of 805 Page 14

Given some line segment AB, whose length you do not know, construct such that the length of is twice that of .

Step 1: Draw an arbitrary line segment AB



Step 2: With A as centre draw a circle of radius AB



Step 3: Extend AB backwards to meet the circle at Q. BQ=PQ=2AB



More from this chapter

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5

Given of length 7.3 cm and of length 3.4 cm, construct a line segment such that the length of is equal to the difference between the lengths and . Verify by measurement.

 1

Draw any line segment PQ. Without measuring , construct a copy of .

 1

Draw any line segment AB. Mark any point M on it. Through M, draw a perpendicular to . (Use ruler and compasses)

 2

Draw any line segment PQ. Take any point R not lying on it. Through R, draw a perpendicular to . (use a ruler and set square)