A) Complete any one out of two activities: (i) In □ABCD, diagonals AC and
BD intersect each other at point E.
Ir AE_BE then complete EC ED
the following activity to prove DABCD is a trapezium.
Proof :
Draw line EF II side DC such that B-F-C.
In ABDC,
Seg EF Il side DC
BEBF
ED
.. (Construction)
... (1)
also BE_AB ED EC
□_BF
ECFC Now in ΔACD,
CE
AE FB
.. seg EF II side AB
and seg EF Il side
.. seg AB I side DC
.. ABCD is a trapezium.
... (Given) ... (2)
... From (1) and (2).... (3)
... (By invertendo)
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Answer:
abcd to the cups of water and
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