Question

ABCD is a trapezium in which AB is parallel to DC and the diagonals AC , BD cut at X. A line is drawn through C parallel to DA to cut DB , produced if necessary at Y . prove that

Triangle AXD, triangle BXC are equal in areas

Answer 1

Answer:

Step-by-step explanation:

ΔACD = ΔBCD (on same base DC and between parallels DC and AB)

Subtract ΔCXD  from both sides.

ΔACD - ΔCXD = ΔBCD - ΔCXD

=> ΔAXD = ΔBXC