The diagram shows a rhombus ABCD. The points B and D have coordinates (2,10) and (6,2) respectively, and A lies on the x-axis. The midpoint of BD is M. Find, by calculation, the coordinates of each of M, A and C.

Question

anonymous · Answer

i know that M is(4,6) and A is(-8,0) but C?

whpalmer4 · Answer

Can we see the diagram, or do we have to construct it ourselves?

ganeshie8 · Answer

hint : M is the midpoint of  segment AC

anonymous · Answer

ohhhh i get it now thank you!

ganeshie8 · Answer

cool :)
rhombus => diagonals bisect each other

whpalmer4 · Answer

it's late, how do we know that the x coordinate of A = -8?

ganeshie8 · Answer

@azazell how did u find A ?

did u solve below  :
1)y = 0 
2) line thru M, perp to BD

?

ganeshie8 · Answer

or is there any other easy way ?

whpalmer4 · Answer

oh, didn't think of the perpendicular line equation, duh.  Like I said, it's late :)

whpalmer4 · Answer

hey hey, just hit 99 for problem solving component of SS... :-)

ganeshie8 · Answer

ahhh congratulations @whpalmer4  :))

whpalmer4 · Answer

thanks! I think I can go to sleep now :-)

anonymous · Answer

ha!congratulations  im still new :)

ganeshie8 · Answer

lol u should sleep probably its very late in the night there in US.. .

ganeshie8 · Answer

my senior manager's name at work is Bill -.-

whpalmer4 · Answer

I'm in California, so it's coming up on 2 AM.  Not TOO late, but not early, either!

It's interesting to watch how the problems that are posted on the forum change as the day goes on — have you noticed that, @ganeshie8?

ganeshie8 · Answer

@azazell  let me take a moment to welcome u officially :)

$\large   \color{purple}{\text{Welcome to OpenStudy !!!!}}$

ganeshie8 · Answer

yeah guess it gets updated every 1 minute or so... very intelligent/mindful design from OS designers :)

whpalmer4 · Answer

no, I mean the types of problems that show up...

anonymous · Answer

awww u guys r so nice! XDDD

ganeshie8 · Answer

California ! the silicon valley of planet earth XD

whpalmer4 · Answer

not only lots of silicon, plenty of silicone, too ;-)

ganeshie8 · Answer

lol OS goes dead after u folks in USA sleep... for the next 4-5 hours there wont be much activity -.-

ganeshie8 · Answer

silicone ?

whpalmer4 · Answer

lots of women with surgical enhancements...too much money sloshing around

ganeshie8 · Answer

i knw oly about silicon hehe ... i live in bangalore.. this is also the silicon valley of india !

ganeshie8 · Answer

lol u hinting plastic surgeries... i got u :P