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Mathematics 20 Online
OpenStudy (anonymous):

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.

OpenStudy (anonymous):

|dw:1397000487880:dw| for now lets pretend this is your drawing

OpenStudy (anonymous):

lol ok well its easier if you look at it from a different perspective so i made a rectangle with a triangle divided into 3rds

OpenStudy (anonymous):

sorry it was way less complicated in my head

OpenStudy (anonymous):

is this for your geometry class?

OpenStudy (anonymous):

lol i have not learned this yet

OpenStudy (anonymous):

@iambatman could you help us out

OpenStudy (anonymous):

what im thinking is that if shapes are proportional all the dimensions are proportional as well right?

OpenStudy (anonymous):

RANGA THANK GOD CAN YOU HELP ME

OpenStudy (ranga):

|dw:1397000930840:dw|

OpenStudy (ranga):

If you prove triangles ADE and ABC are similar, then you can prove DE is parallel to BC.

OpenStudy (anonymous):

wow our drawings were off lol i actually did go over this in october

OpenStudy (anonymous):

yeah.. Thats what I'm trying to do.. I dont want the answer I wanna try on my own.. well with help. so I have to prove similar angles?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so angle b= angle b by reflective property of equality?

OpenStudy (ranga):

If you prove triangles ADE and ABC are similar, then, angle ADE = angle ABC and angle AED = angle ACB. They are corresponding angles and therefore DE is parallel to BC.

OpenStudy (anonymous):

sorry what?

OpenStudy (ranga):

|dw:1397001477563:dw|

OpenStudy (anonymous):

|dw:1397001606596:dw|

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