2. Draw parallelogram ABCD with the data: AB = 6 cm, AD = 5 cm and angle DAB=45^ Let AC and DB meet in O and let E be the mid point of BC. Join OE. Prove that (i) OE || AB, (ii) OE= 1 2 AB. (ICSE)
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(i) Construct line segment AB of length 6 cm.
(ii) At point A, construct angle of 45
0
with the help of compass and
name it as ∠BAL
(iii) Taking 5 cm as radius, mark an arc on the ray AL and name the point
of intersection as D.
(iv) From point B, draw an arc measuring 5cm
(v) Taking 6 cm as radius, draw an arc from D and name the point of
intersection of the arc drawn in point iv, with this arc as C.
(vi) Join CD.
ABCD is the required parallelogram.
From the figure OE∥AB
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