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Given that I is the midpoint of NH, NH bisects KIL, and MJ is the perpendicular bisector of NH, which of the following statements is true?

Given that I is the midpoint of NH, NH bisects KIL, and MJ is the perpendicular bisector-example-1
Given that I is the midpoint of NH, NH bisects KIL, and MJ is the perpendicular bisector-example-1
Given that I is the midpoint of NH, NH bisects KIL, and MJ is the perpendicular bisector-example-2

1 Answer

3 votes
If MJ is the perpendicular bisector of NH:
m<NIM=90°, m<NIJ=90°, m<MIH=90°, and m<JIH=90°

If NH bisects KIL:
m<LIN=m<NIK

As m<NIM=90°=m<NIJ and m<LIN=m<NIK, then:
m<KIJ=m<LIM

Answer: The statements are true:
B. m<KIJ=m<LIM
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