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D is the mid-point of side AB of a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R, then which of the following is correct?
  • a)
    AR = BC
  • b)
  • c)
    AR = 2BC
  • d)
    AR = 3BC
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
D is the mid-point of side AB of a parallelogram ABCD. A line through ...
In DABR

DP ∥ BR, and P is the mid-point of side AB
∴ Using mid-point theorem (converse) Point P is the mid - point of AB and is parallel to BR.
∴ 
D will be the mid -point of side AR
∴ 
⇒ AR = 2BC
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D is the mid-point of side AB of a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R, then which of the following is correct?a)AR = BCb)c)AR = 2BCd)AR = 3BCCorrect answer is option 'C'. Can you explain this answer?
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