An isosceles trapezoid LMNO has the side LO is congruent to side MN, the diagonal LN is congruent to diagonal MO, and the angle L is congruent to angle M.
Given :
Trapezoid LMNO.
The following are the conditions that show any trapezoid is an isosceles trapezoid:
Condition 1 -- Both the legs are of the same length.
Condition 2 -- The base angles are of the same measure.
Condition 3 -- Diagonals are of the same length.
So, the given trapezoid LMNO is an isosceles trapezoid when:
The side LO is congruent to side MN.
The diagonal LN is congruent to diagonal MO.
The angle L is congruent to angle M.
Therefore, the correct option is a), c), and e).
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