Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!

O is the midpoint of BC.

Step-by-step explanation:

(i) From the figure, △AOB and △DOC

We know that AB∥CD and ∠BAO and ∠CDO are alternate angles

So we get

∠BAO=∠CDO

From the figure, we also know that O is the midpoint of the line AD

We can write it as AO=DO

According to the figure we know that ∠AOB and ∠DOC are vertically opposite angles.

So we get ∠AOB=∠DOC

Therefore, by ASA congruence criterion we get

△AOB≅△DOC.

(ii) We know that △AOB≅△DOC

So we can write it as

BO=CO(c.p.c.t)

Therefore, it is proved that O is the midpoint of BC.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this