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 DCM' is equal to three-fourth of the area of trapezium ABCD, if AB = CD.
2'Area of triangle DCM + Area of triangle ABM' is always greater than half of the area of trapezium ABCD.
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 DCM' is equal to three-fourth of the area of trapezium ABCD, if AB = CD.
2'Area of triangle DCM + Area of triangle ABM' is always greater than half of the area of trapezium ABCD.

Which of the above statements is/are correct?

Accepted Answer

Option A: 1 only