Given Point M is the midpoint of LQ and NP and ZLNM and ZOPM are right angles Prove ALIMNAOPM The students are asked to

Question

Given Point M is the midpoint of LQ and NP and ZLNM and ZOPM are right angles Prove ALIMNAOPM The students are asked to construct an argument to prove ALMN AOPM Some of the students responses are given below Which of the arguments prove the congruence of the two triangles Select all that apply A D M a M H LNM and 240PM are right angles Given LM is the hypotenuse of ALNM and OM is the hypotenuse of AOPM Definition of a hypotenuse Point is the midpoint of LO and NP Given LM OM and NMPM Definition of midpoint and definition of congruent segments ALNM AOPM Hypotenuse Leg Congruence Theorem LNM and ZOPM are right angles Given ZLNM 20PM Right angles are congruent Point is the midpoint of B and NP Given LM OM and MM 2 PM Definition of midpoint and definition of congruent ALNM AOPM SAS Theorem Point is the midpoint of LC and NP Given LM OM and NMPM Definition of midpoint and definition of congruent segments ZEMN 20MF Vertical angles are congruent ALNMADPM SAS Theorem Point LM segment IN UP Congruent Parts of Congruent Triangles are Conscient ALUM AOPAS 555 Theorene is the midpoint of IU and NP Given OM and MM 2 FM Definition of midpoint and definition of congruent ZLNM and OPM are is angl Given ZLNM ZOPM Richture are constient

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