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CBSE Class 9 Answered

In a parallelogram ABCD, E and F are points on AB and CD such that AE = CE. Prove that ED II BF.
Asked by dimplesharma0810 | 29 Feb, 2016, 06:11: PM
answered-by-expert Expert Answer
begin mathsize 14px style Given colon ABCD space is space straight a space parallelogram space and space AE space equals space CF. To space prove colon space ED space parallel to BF Proof colon AE equals CF space space space space space.... left parenthesis 1 right parenthesis left parenthesis given right parenthesis Since space the space opposite space sides space of space the space parallelogram space are space equal. space AB space equals space CD space space space space space space space space space.... left parenthesis 2 right parenthesis space Subtracting space left parenthesis 1 right parenthesis space from space left parenthesis 2 right parenthesis comma space we space have AB space minus space AE space equals space CD space minus space CF space BE space equals space DF space space space space space space... left parenthesis 3 right parenthesis space Also comma space BE space parallel to DF rightwards double arrow BEDF space is space straight a space parallelogram. space rightwards double arrow ED space parallel to space BF end style
Answered by Rashmi Khot | 01 Mar, 2016, 11:40: AM

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