consider line segment AB whose endpoints are 1,4) and (4,8). if this segment is dilated by a scale factor of 3 centered @ the origin. find the length of the new segment, A"B.

3
5
9

Question

consider line segment AB whose endpoints are 1,4) and (4,8). if this segment is dilated by a scale factor of 3 centered @ the origin. find the length of the new segment, A"B.


3
5
9

anonymous · Answer

@skullpatrol can you please help me

jack1 · Answer

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jack1 · Answer

|dw:1377522075006:dw|

jack1 · Answer

dialation of x, y  = kx, ky ...yeah?

anonymous · Answer

i dnt understand really,

jack1 · Answer

as it's not centered at one of the points but instead at the origin, so i think that as the scale factor is greater than 1, it's increasing the size of the line segment, so use the equation
(x, y) => (kx, ky)

so the point A:
(1,4) becomes  => (3*1 , 3*4)   = (3, 12) = A' (the new A point)

anonymous · Answer

ohhhh okay

jack1 · Answer

so find the point B' now
then use pythag theorum to find the length of the line

anonymous · Answer

i just did thankyou soo much for your help, sorry that i didn't understand it at the very beginning

jack1 · Answer

s 'all right, happy to help hay
let me know how u go, yeah?

anonymous · Answer

lol. okay...