In the given figure, ABCD is a trapezium in which AB || DC and DC = 40 cm and AB = 60 cm. If X and Y are, respectively, the mid-points of AD and BC, prove that:(i) XY = 50 cm(ii) DCYX is a trapezium(iii) ar (trap. DCYX) = 911 ar (trap. (XYBA)

In the given figure, ABCD is a trapezium in which AB || DC and DC = 40

1.	In the given figure, ABCD is a trapezium in which AB \|\| DC and DC = 40 cm and AB = 60 cm. If X and Y are, respectively, the mid-points of AD and BC, prove that:(i) XY = 50 cm(ii) DCYX is a trapezium(iii) ar (trap. DCYX) = 911 ar (trap. (XYBA)
Answer» In the given figure, ABCD is a trapezium in which AB \|\| DC and DC = 40 cm and AB = 60 cm. If X and Y are, respectively, the mid-points of AD and BC, prove that: (i) XY = 50 cm (ii) DCYX is a trapezium (iii) ar (trap. DCYX) = $\frac{9}{11}$ ar (trap. (XYBA)