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In the given figure, l is parallel to m and M is the mid point of a line segment AB. Show that M is also the midpoint of any line segment CD having its end points on l and m.

In the given figure, l is parallel to m and M is the mid point of a line segment AB-example-1

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Answer:

Explanation:

  • |AM| = |MB|
  • ∠CAM = ∠MBD
  • ∠ACM = ∠MDB

∴ ΔAMC ≅ ΔBMD

since ΔAMC ≅ ΔBMD, therefore |CM| = |MD| → M is also the midpoint of CD

User Reza Keshavarz
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