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Mathematics 11 Online
OpenStudy (anonymous):

Triangle dilations help please!

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

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

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

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

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

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:)

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