InterviewSolution
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InterviewSolution
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Points D and E are the midpoints of side AB and side AC of ∆ABC respectively. Point F is on ray ED such that ED = DF. Prove that □AFBE is a parallelogram. For this example write ‘given’ and ‘to prove’ and complete the proof. |
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Answer» Given: D and E are the midpoints of side AB and side AC respectively. ED = DF To prove: □AFBE is a parallelogram. Proof: seg AB and seg EF are the diagonals of □AFBE. seg AD ≅ seg DB [Given] seg DE ≅ seg DF [Given] ∴ Diagonals of □AFBE bisect each other. ∴ □AFBE is a parallelogram. [By test of parallelogram] |
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