draw a line segment of 16 cm using a ruler and a compass and divide into 4 equal parts
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Step-by-step explanation:
Steps of construction :
Step I - Draw a line segment AB = 6.5 cm with the help of ruler.
Step II - with vertex A, by using compass take more than half of AB and draw arcs, one each side of side of AB.
Step III - with vertex B, by using compass with same length, cut the previous arcs at E and F respectively.
Step IV - with help of ruler join the point E and F.
Thus, Q is midpoint of Ab (∴ AQ = BQ)
Step V - similarly, bisect the lines AQ and BQ
Thus, P, is midpoint of AQ and R, is midpoint of BQ Now, points P, Q and R divided the line segment AB in four equal parts
∴ AP = PQ = QR = RB
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