Draw any line segment ^@ \overline{ AB }. ^@ Mark any point ^@ M ^@ on it. Through ^@ M, ^@ draw a perpendicular to ^@ \overline{ AB }. ^@


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Answer:

A B M P Q K

Step by Step Explanation:
  1. Draw a line segment ^@ AB ^@ and mark a point ^@ M ^@ on it.
    A B M
  2. With ^@ M ^@ as centre and a convenient radius, construct an arc intersecting the line segment ^@ AB ^@ at ^@ P ^@ and ^@ Q. ^@
    A B M P Q
  3. With ^@ P ^@ and ^@ Q ^@ as centres and radius greater than ^@ PM, ^@ construct ^@ 2 ^@ arcs and mark the point of their intersection as ^@ K. ^@ Join ^@ MK. ^@
    A B M P Q K
  4. ^@ \overline{ MK } ^@ is the required perpendicular through ^@ M ^@ on ^@ \overline{ AB }. ^@

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