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Question
The given figure shows a parallelogram ABCD in which E is mid-point of AD and DL//EB. Then, BF is equal to:
Options
AD
BE
AE
AB
MCQ
Fill in the Blanks
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Solution
AB
Explanation:
By applying the Intercept Theorem, since E is the midpoint of AD and DL || EB, L is the midpoint of CB. Triangles BLF and DLC are congruent by the ASA criterion, giving BF = CD; since opposite sides of a parallelogram are equal (CD = AB), it follows that BF = AB.
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