Question

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

Answer 1

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.