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# Help!!! Geometry Question

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Drag and drop a statement or reason to each box to complete the proof.

Given: parallelogram EFGH

Prove: EG¯¯¯¯¯ bisects HF¯¯¯¯¯¯ and HF¯¯¯¯¯¯ bisects EG¯¯¯¯¯ .

Options:

Dec 16, 2017

#1
+101424
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Definition of a Parallelogram

EF  = HG

EK  = GK

FK  = HK

Definition of  bisector

Dec 16, 2017
#2
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EF¯¯¯¯¯ ∥ HG¯¯¯¯¯¯    =  Definition of a parallelogram

? = When two parallel lines are cut by a transversal, alternate interior angles are congruent.

EF¯¯¯¯  ≅ HG¯¯¯¯ = The opposite sides of a parallelogram are congruent.

△EKF≅△GKH = ASA Congruence Postulate

EK¯¯¯¯  ≅ GK¯¯¯¯       =CPCTC

FK¯¯¯¯  ≅ HK¯¯¯¯

EG¯¯¯¯ bisects HF¯¯¯¯ nad HF¯¯¯¯ bisects EG¯¯¯¯ = Def. of bisector

Where the REASON says: When two parallel lines are cut by a transversal, alternate interior angles are congruent.

Which STATEMENT would it be?:

(A) ∠EKF  ≅ ∠HKF

(B) ∠FEK  ≅ ∠HGK

∠EFK  ≅ ∠GHK

KennedyPape  Dec 16, 2017
#3
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AH!!!!....this site does NOT LIKE the use of  too many "<"  signs....I don't know why, but it cut off my answer....!!!!!

angle FEK  = angle HGK

angle EFK  = angle GHK

Sorry...."Ghosts in the machine "

Dec 16, 2017
#4
+294
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THANK YOU! THANK YOU! THANK YOU! THANK YOU SO MUCH!!!!

KennedyPape  Dec 16, 2017