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Geometry 9 Online
OpenStudy (gabylovesyou):

@jim_thompson5910 Can you help me with an assignment?

jimthompson5910 (jim_thompson5910):

I can help with a few problems, but not the whole thing

jimthompson5910 (jim_thompson5910):

You can divide that square up along the diagonal so you get 2 triangles

jimthompson5910 (jim_thompson5910):

Then you would use the fact that all sides of a square are congruent, along with the congruent diagonals, to use the SSS property

jimthompson5910 (jim_thompson5910):

Do you see how I'm getting this?

jimthompson5910 (jim_thompson5910):

so start with what you're given and connect from there to get the final result you want

jimthompson5910 (jim_thompson5910):

what are you given?

jimthompson5910 (jim_thompson5910):

you mean a rhombus right?

jimthompson5910 (jim_thompson5910):

I would divide the rhombus along one diagonal

jimthompson5910 (jim_thompson5910):

so it might help to label each corner with a point

jimthompson5910 (jim_thompson5910):

yes correct

jimthompson5910 (jim_thompson5910):

then you'll have something like this |dw:1394499610241:dw|

jimthompson5910 (jim_thompson5910):

since we're dealing with a rhombus, we know all 4 sides are congruent so these two sides are congruent to each other |dw:1394499659433:dw|

jimthompson5910 (jim_thompson5910):

and so are these 2 sides |dw:1394499674322:dw|

jimthompson5910 (jim_thompson5910):

just by the definition of a rhombus

jimthompson5910 (jim_thompson5910):

and finally, the diagonal is equal to itself (reflexive property) |dw:1394499705466:dw|

jimthompson5910 (jim_thompson5910):

if we pull apart the two triangles, we get this |dw:1394499736918:dw|

jimthompson5910 (jim_thompson5910):

and we see that the SSS property can then come into play |dw:1394499785628:dw|

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