Question

consider trapezoid lmno. what information would verify that lmno is an isosceles trapezoid? check all that apply. (overline{ln}=overline{mo}) (overline{lm}=overline{on}) (overline{lo}=overline{mn}) (angle l=angle n) (angle l=angle m)

Explanation:

Step1: Recall isosceles trapezoid properties

An isosceles trapezoid has non - parallel sides equal and base angles equal. Given $LM\parallel ON$ (from the arrows indicating parallel sides).

Step2: Analyze side - length conditions

The non - parallel sides are $LO$ and $MN$. For the trapezoid to be isosceles, $\overline{LO}=\overline{MN}$. Also, the base angles are $\angle L$ and $\angle M$ (or $\angle O$ and $\angle N$). Base angles of an isosceles trapezoid are equal, so $\angle L=\angle M$.

Answer:

C. $\overline{LO}=\overline{MN}$
F. $\angle L=\angle M$