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HGiven: DF || EH, DH || EG, and DF EHProve: H is the midpoint of FGStatementsDF || EH, DH || EG1)ZDFH ZEHG and ZDHF LEGHADFH AEHGFH HGH is the midpoint of FGReasonsGivenGiven2)4)5)Which statement belongs in space number 3?HLThe triangles are not congruent.ASAOAAS

HGiven: DF || EH, DH || EG, and DF EHProve: H is the midpoint of FGStatementsDF || EH-example-1
User Lightweight
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1 Answer

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16 votes

We are given that the segments:


DF\cong EH

And also:


\begin{gathered} \angle\text{DFH}\cong\angle EHG \\ \angle DHF\cong\angle EGH \end{gathered}

This means that we can use the Angle Angle Side (AAS) theorem to prove congruency between the triangles DFH and EHG.

User JARS
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