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Mathematics 7 Online
zbz:

Geometry Help Plz

zbz:

1 attachment
zbz:

@jhonyy9

zbz:

I think it's none, but not sure

jhonyy9:

you need to prove that these lines are parallele - sure !!! - what geometric figure you see on this image ?

zbz:

vertical

jhonyy9:

geometric figure --- like square,rectangle,triangle,rhombus,...trapezoid,... what you see there ?

zbz:

Rectangle lol

jhonyy9:

maybe possibile rectangle - but rectangle has 4 right angles - and this figure not has noone right angle - so than ???

zbz:

its none

jhonyy9:

this is parallelogram - have you heard about it ?

zbz:

yes

jhonyy9:

what are the properties of a parallelogram ? how are they opposite sides ?

zbz:

The opposite sides are of equal length.

jhonyy9:

yes and ... ???

jhonyy9:

this property contain the name of the figure

zbz:

its a four sided plane

jhonyy9:

PARALLELogram

jhonyy9:

how are the opposite sides ?

zbz:

Gotcha then is AB parallel to DC

jhonyy9:

yes but you need prove this

jhonyy9:

i will help you step by step so like a first step have you heard about the theorem of alternate interior exterior angles ?

zbz:

Yes... If two parallel lines are cut by a transversal, then the alternate interior angles are equal. If two parallel lines are cut by a transversal, then the alternate exterior angles are equal

jhonyy9:

perfect - congrats

jhonyy9:

so using these theorems look pls. on this attached image given that angle m<8 = m<4 => what result from this ?

zbz:

They are alternate interior angles which makes them equal

jhonyy9:

yes right so what result from this ? what angles are equal - congruent there again - conform to these theorems ?

zbz:

AB & DC

jhonyy9:

this is right but you need now get the congruent angles --- bc. from these congruenties will result these sides are congruent too and parallele

zbz:

AD & BC?

jhonyy9:

i ve said pls. using these above wrote theorems try get the congruent angles

jhonyy9:

AD and BC are sides

jhonyy9:

pls look on this image what angles are there again alternate interior angles ?

zbz:

AB & BC

jhonyy9:

sorry these are sides

zbz:

*AB & DC

jhonyy9:

@Mercury pls

zbz:

Sorry, I'm not understanding. Thank you for your help tho...I know you're trying to help me understand, but my question didn't need to be proved so is AB being parallel to DC the correct answer?

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