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Question

Which of the following is incorrect for the following figure?


  1. AB = BC
  2. AB AD
  3. AD = BC
  4. AB = DC


Solution

The correct option is A AB = BC
Consider ADB and CBD,
ABD=CDB .....  (given)
ADB=CBD .....  (given)
BD = BD .... (Common side)

Therefore, ADBCBD
by ASA criterion for congruency of triangles.

  AB = CD and AD = CD . . . (corresponding parts of congruent triangle)
 AB BC (non-corresponding sides)

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