the endpoints of AB are A(9,4) and B(5,-4). The endpoints of ts image after a dilation are A'(6,3) and B'(3,-3). Find the scale factor and explain each of your steps.

Question

anonymous · Answer

@Directrix @dtan5457

anonymous · Answer

@amistre64

anonymous · Answer

@AJ01

amistre64 · Answer

what is the length of each piece?

amistre64 · Answer

A(9,4) and B(5,-4)
 -9-4          -9-4
----------------
A=0,0     B=-4,-8



A'(6,3) and B'(3,-3).
  -6-3          -6-3
----------------
A'=0,0      B'=-3,-6

for some scale factor t, we have:

-4t = -3   or    -8t = -6

what is t?

anonymous · Answer

-1?

amistre64 · Answer

um, -4*-1 is not -3

anonymous · Answer

+1 but that doesnt work for the second equation

amistre64 · Answer

solve for t

-4t = -3,  divide off the -4

t = -3/-4 = .75

amistre64 · Answer

8*.75 = 6 so it works for that one too

anonymous · Answer

how do you put that into a scale factor?

amistre64 · Answer

for some scale factor t .... well we determined t = .75 so the scale factor is 1 to .75 i spose

not sure how the lingo goes on it, your material should cover that part better than i can

anonymous · Answer

thanks so much!

amistre64 · Answer

youre welcome