Answer: The correct options are
(A) ML ∥ NO,
(C) LO ≅ MN.
Step-by-step explanation: Given that in quadrilateral LMNO, LO ∥ MN.
We are to select the correct additional information that would be sufficient along with the given information to conclude that LMNO is a parallelogram.
<u><em>PARALLELOGRAM:</em></u> A parallelogram is a quadrilateral if ine of the following conditions are satisfied:
(i) Two pairs of opposite sides parallel
or
(ii) one pair of opposite sides parallel and congruent.
The given condition is
LO ∥ MN.
So, the other additional sufficient condition will be
either the other pair of opposite sides parallel, i.e., ML ∥ NO,
or
the same pair of parallel sides are congruent, i.e, LO ≅ MN.
Thus, the correct statements are ML ∥ NO and LO ≅ MN.
Option (A) and (C) are correct.
