Question

If in the trapezium ABCD given above, AB is half of DC and also parallel to DC, then which of the following statements are correct?

• A. AD = 2OA
• B. A is the mid point of OD
• C. B is the mid point of CO
• D. CB = 2BO

Answer 1

Answer: (B), (C)

The correct options are
B A is the mid point of OD
C B is the mid point of CO

$\text{Given:}AB=\frac{1}{2}CD\text{and}AB\parallel CD$

We know that the mid-point theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and its length is equal to half the measure of the third side.

$\therefore$A is the mid point of the side OD
and, B is the mid point of the side CO.