For the next two (2) items that follow: ABCD is a trapezium in which AB is parallel to CD. Let M be the midpoint of BC. Consider the following statements:
1'Area of triangle ADM − Area of triangle ABM' is always equal to area of triangle DCM, if AB = CD.
2Half of area of triangle ABM is equal to one-eighth of area of trapezium ABCD, if AB = CD.
Which of the above statements is/are correct?

Question

For the next two (2) items that follow: ABCD is a trapezium in which AB is parallel to CD. Let M be the midpoint of BC. Consider the following statements:

1'Area of triangle ADM − Area of triangle ABM' is always equal to area of triangle DCM, if AB = CD.
2Half of area of triangle ABM is equal to one-eighth of area of trapezium ABCD, if AB = CD.

Which of the above statements is/are correct?

Accepted Answer

Option C: Both 1 and 2