Is ∆LMP≅∆NMP by HL? If so, which legs allow the use of HL?

Step-by-step explanation:

For the 2 triangles to be ≅by HL we need the hypothenuse and pair of legs to be congruent.

We know for sure that we have a pair of legs ≅

the legs MP≅MP by reflexive propriety ( is congruent with itself)

But we do not know from the picture that the hypothenuses are ≅

in ΔLMP the  hypothenuse is LM

inΔNMP the hypothenuse is NM

So unless is given that LM si congruent to MN the Δs are not ≅ by HL theorem

step-by-step explanation: step 3 should really go to step seven, but anyway never mind.

1 ∠oln ≅ ∠lno