Let-ABCD-be-a-parallelogram-The-points-M-N-and-P-are-chosen-on-the-segments-BD-BC-and-CD-respectively-so-that-CNMP-is-a-parallelogram-Let-E-AN-BD-and-F-AP-BD-Prove-that-AEF-DFP-

FacebookTweetPin

Question Number 16879 by Tinkutara last updated on 27/Jun/17

$$\mathrm{Let}ABCD\mathrm{be}\mathrm{a}\mathrm{parallelogram}.\mathrm{The}$$$$\mathrm{points}M,N\mathrm{and}P\mathrm{are}\mathrm{chosen}\mathrm{on}\mathrm{the}$$$$\mathrm{segments}BD,BC\mathrm{and}CD,$$$$\mathrm{respectively},\mathrm{so}\mathrm{that}CNMP\mathrm{is}\mathrm{a}$$$$\mathrm{parallelogram}.\mathrm{Let}E=AN\cap BD\mathrm{and}$$$$F=AP\cap BD.\mathrm{Prove}\mathrm{that}$$$$\left[AEF\right]=\left[DFP\right]+\left[BEN\right].$$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

FacebookTweetPin