mathmath333
  • mathmath333
Counting Problem
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1, 2, 3, 4 ...
mathmath333
  • mathmath333
1 Attachment
yadu123
  • yadu123
25 grey dots 5 blue

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More answers

yadu123
  • yadu123
6 green lines 5 red
yadu123
  • yadu123
20 squares
mathmath333
  • mathmath333
|dw:1440255088214:dw|
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{The red and green lines are parallel to eachother.}\hspace{.33em}\\~\\ & \normalsize \text{Find the number of parallelograms formed.}\hspace{.33em}\\~\\ \end{align}}\)
yadu123
  • yadu123
i think its still 20 parralelograms
anonymous
  • anonymous
there is a technique we can use
anonymous
  • anonymous
btw, how did you draw it like that? it looks cool
yadu123
  • yadu123
a parralleogram is a shape with opposite sides parallel and opposite angles equal
mathmath333
  • mathmath333
Using geozebra
mathmath333
  • mathmath333
|dw:1440255355482:dw|
yadu123
  • yadu123
so is it 20?
mathmath333
  • mathmath333
https://www.geogebra.org/
mathmath333
  • mathmath333
|dw:1440255407583:dw| this is also a prallelogram so answer is not 20
yadu123
  • yadu123
oh
ganeshie8
  • ganeshie8
|dw:1440255451325:dw|
ganeshie8
  • ganeshie8
To form a parallelogram, you need to choose any 2 red lines and any 2 green lines
mathmath333
  • mathmath333
is their a predefined formula
ganeshie8
  • ganeshie8
its not formula as such, you can see that there are 5 red lines, how many ways can you choose 2 red lines ?
mathmath333
  • mathmath333
but why r u choosing 2 red line
mathmath333
  • mathmath333
and 2 grren lines
ganeshie8
  • ganeshie8
how many sides are there in a parallelogram ?
ytrewqmiswi
  • ytrewqmiswi
a(a -1) x b(b -1) =number of parallelograms m nd n are the number of lines :)
mathmath333
  • mathmath333
4
ganeshie8
  • ganeshie8
|dw:1440255729752:dw|
ganeshie8
  • ganeshie8
first convince yourself that you must choose exactly 2 red lines and 2 green lines to form a parallelogram
mathmath333
  • mathmath333
ok it forms only 1 parellelofram
ganeshie8
  • ganeshie8
try some examples picking different pairs of lines
ytrewqmiswi
  • ytrewqmiswi
a helpful link-http://www.markedbyteachers.com/international-baccalaureate/maths/mathematics-sl-parellels-and-parallelograms-this-task-will-consider-the-number-of-parallelograms-formed-by-intersecting-m-horizontal-parallel-lines-with-n-parallel-transversals-we-are-to-deduce-a.html
mathmath333
  • mathmath333
ok i get it
mathmath333
  • mathmath333
the link has a formula
ytrewqmiswi
  • ytrewqmiswi
yes :)
mathmath333
  • mathmath333
thanks to google

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