+0

# Help!!! Geometry Question

0
108
4
+17

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:

KennedyPape  Dec 16, 2017
Sort:

#1
+80910
+2

Definition of a Parallelogram

EF  = HG

EK  = GK

FK  = HK

Definition of  bisector

CPhill  Dec 16, 2017
#2
+17
+1

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
+80910
+3

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 "

CPhill  Dec 16, 2017
#4
+17
+2

THANK YOU! THANK YOU! THANK YOU! THANK YOU SO MUCH!!!!

KennedyPape  Dec 16, 2017

### 23 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details