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F is a right angle, and segment (a)(f), BG, and CH are all parallel. Use this information to explain why ∆AFD ~ ∆BGD ~∆CHD. Support your answer using a postulate or theorem.

Use the diagram to answer each part of the question

HELP ASAP F Is A Right Angle And Segment Af BG And CH Are All Parallel Use This Information To Explain Why AFD BGD CHD Support Your Answer Using A Postulate Or class=

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Medunno13id

By the corresponding angles theorem,

  • ∠AFG, ∠BGD, and ∠CHD are congruent
  • ∠BAF, ∠CBG, and ∠DCH are congruent

Thus, triangles AFD, BGD, and CHD are similar by AA.

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