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Draw the perpendicular bisector of line …

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Draw the perpendicular bisector of line segmentXY whose length is 10.3cm. (a)take any point P on the bisector drawn. Examine whether PX=PY (b) If M is the mid point of line segmentXY, what can you say about the length MX and XY?
  • 1 answers

Preeti Dabral 1 year, 6 months ago

  1. Draw a line segment {tex}\overline{X Y}{/tex} of length 10.3cm.
  2. With X as centre, using compasses, draw an arc. The radius of this arc should be more than half of the length of {tex}\overline{X Y}{/tex}.
  3. With the same radius and with Y as centre, draw another arc using compasses. Let it cut the previous arc at A and B.
  4. Join AB. Then {tex}\overline{A B}{/tex} is the perpendicular bisector of the line segment {tex}\overline{X Y}{/tex}.
    1. On examination, we find that PX = PY.
    2. We can say that the lengths of MX is half of the length of XY.
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