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ICSE Class 9 Answered

In a parallelogram ABCD, AE=EF=FC. Prove that i. DE is parallel to FB ii. DE=FB iii. DEBF is a parallelogram
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Asked by aryan_sanghvi | 11 Mar, 2018, 12:28: PM
answered-by-expert Expert Answer
begin mathsize 16px style increment DEA space and space increment BFC
AD equals BC
AE equals FC
angle DAE equals angle BCF...... diagonals space bisect
so space congruent space by space SAS
so space space DE equals FB..... CPCT
increment DEC space and space increment BFA
DC equals AB
AF equals EC
DE equals FB
so space congruent space by space SSS
so space angle DEF equals angle BFE.... CPCT
so space alternate space angles space are space equal space so space parallel end style
Answered by Arun | 11 Mar, 2018, 05:30: PM
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