Draw a line $l$. Draw a perpendicular to $l$ at any point on $l$. On this perpendicular choose a point $X$, $4\ cm$ away from $l$. Through $X$, draw a line $m$ parallel to $l$.

AcademicMathematicsNCERTClass 7

To do: To draw a line $l$. Draw a perpendicular to $l$ at any point on $l$. On this perpendicular choose a point $X$, $4\ cm$ away from $l$. Through $X$, draw a line $m$ parallel to $l$.

Steps of construction:

  • Draw a line l, take a point P on it. Draw a perpendicular passing through point P.
  • Now adjust the compass up-to-the length of 4 cm. Taking P as the center, draw an arc to intersect this perpendicular at point X.
  • Choose any point Y on line l, join X to Y.
  • Taking Y as a center and with a convenient radius, draw an arc intersecting l at A and XY at B.
  • Taking X as a center and with the same radius as above, draw an arc CD cutting XY at E
  • Adjust the compass up-to to the length of AB.
  • Hence, line m is parallel to line l at a distance of 4 cm.
  • Without changing the opening of the compass and taking E as the center, draw an arc to intersect the previously drawn arc CD at F.
  • Join the points X and F to draw a line m.
raja
Updated on 10-Oct-2022 13:35:47

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