Question

consider trapezoid lmno. what information would verify that lmno is an isosceles trapezoid? check all that apply. ln ≅ mo lm ≅ on lo ≅ mn ∠l ≅ ∠n ∠l ≅ ∠m

Explanation:

Step1: Recall isosceles trapezoid properties

An isosceles trapezoid has non - parallel sides equal and diagonals equal. Also, base angles are equal.

Step2: Analyze side - length equalities

The non - parallel sides of trapezoid LMNO are LO and MN. If $\overline{LO}\cong\overline{MN}$, it is an isosceles trapezoid. Also, the diagonals are $\overline{LN}$ and $\overline{MO}$. If $\overline{LN}\cong\overline{MO}$, it is an isosceles trapezoid.

Step3: Analyze angle equalities

The base angles of trapezoid LMNO are $\angle L$ and $\angle M$ (or $\angle O$ and $\angle N$). If $\angle L\cong\angle M$, it is an isosceles trapezoid.

Answer:

$\overline{LN}\cong\overline{MO}$, $\overline{LO}\cong\overline{MN}$, $\angle L\cong\angle M$