ABCD is a paralle\log ram and X is the midpoint of BC and Y is the midpoint of DC and arCXY = 1/2 ar BCD. To prove - arAXY = 3/8 ar ABCD

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Q. ABCD is a trapezium in which AB || CD, AB = 16 cm and DC = 24 cm. If E and F are respectively the midpoints of AD and BC, prove that ar(ABFE) =

\frac{9}{11}

ar(EFCD).

Q. A parallelogram

A B C D

has

E

as the midpoint of

D C

and

F

a point on

A C

such that

C F = \frac{1}{4} A C

. EF produced meets

B C

G

. Prove that

G

is the midpoint of

B C

Q. Question 8
In trapezium ABCD, AB || DC and L is the midpoint of BC. Through L, a line PQ || AD has been drawn which meets AB in P and DC produced in Q. prove that ar (ABCD) = ar (APQD).

Q. Question 8
In trapezium ABCD, AB || DC and L is the midpoint of BC. Through L, a line PQ || AD has been drawn which meets AB in P and DC produced in Q. prove that ar (ABCD) = ar (APQD).

In the figure, ABCD is a trapezium in which AB || DC and DC = 40 cm and AB = 60 cm. If X and y are, respectively the midpoints of AD and BC, Prove that:
(i) XY = 50 cm
(ii) DCYX is a trapezium
(iii) ar (trap. $D C Y X) = \frac{9}{11}$ ar (trap. XYBA)

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