Question

n quadrilateral LMNO, LO ∥ MN. What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply. ML ∥ NO ML ⊥ LO LO ≅ MN ML ≅ LO MN ⊥ NO

Answer 1

a and c

Explanation:

Answer 2

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.

PARALLELOGRAM: 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.