Question

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)​

Answer 1

Answer:

(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