Mathematics
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OpenStudy (anonymous):
Triangle dilations help please!
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ganeshie8 (ganeshie8):
find the lengths of any two corresponding sides after and before the dilation
OpenStudy (perl):
pick two corresponding sides which are easy to find their lengths
ganeshie8 (ganeshie8):
if you pick horizontal sides, you may just count the number of grids for finding the length of sides
ganeshie8 (ganeshie8):
how did u get 1/4 ?
ganeshie8 (ganeshie8):
lets pick two correspondign sides
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ganeshie8 (ganeshie8):
how about AB and DE ?
ganeshie8 (ganeshie8):
find their lengths
ganeshie8 (ganeshie8):
length of AB = ?
length of DE = ?
ganeshie8 (ganeshie8):
no its okay, its a one time thing... once u learn how to find a length of a segment, you will be able to solve all other related problems
ganeshie8 (ganeshie8):
lets see how to find the length of side AB
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ganeshie8 (ganeshie8):
how many grids are there between A and B ?
ganeshie8 (ganeshie8):
look at the given diagram and count
ganeshie8 (ganeshie8):
7 is very close, count again
ganeshie8 (ganeshie8):
thats right!
8 is the length of segment of AB
ganeshie8 (ganeshie8):
here A could be your home and B could be an icecreamshop
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ganeshie8 (ganeshie8):
the distance between your home and icecreamshop is 8 meters
ganeshie8 (ganeshie8):
if we assume each grid is 1 meter
ganeshie8 (ganeshie8):
lets squeeze the earth a bit so that the distance between A and B reduces
ganeshie8 (ganeshie8):
5 is very close, count again
ganeshie8 (ganeshie8):
just count the grids occupied by the blue segment
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ganeshie8 (ganeshie8):
try again
ganeshie8 (ganeshie8):
i see only 4 grids between D and E
ganeshie8 (ganeshie8):
i want drawing button to be replace with Geogebra
ganeshie8 (ganeshie8):
*Geogebra plugin
ganeshie8 (ganeshie8):
so we have
AB = 8
DE = 4
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ganeshie8 (ganeshie8):
take the ratio \(\large \rm \dfrac{DE}{AB}\) for the scale factor
ganeshie8 (ganeshie8):
since you're shrinking the size, the scalefactor must always be less than 1
ganeshie8 (ganeshie8):
1/2 is right
ganeshie8 (ganeshie8):
yw:)