The endpoints of line segment AB are A(9, 4) and B(5,-4). The endpoints of its image after dilation are A'(6, 3) and B'(3, -3). Explain how to find the scale factor.

Question

anonymous · Answer

@ganeshie8 @hero ? help?

anonymous · Answer

@nincompoop can you answer?

anonymous · Answer

@lolly ?

anonymous · Answer

@awesome781 Is anyone there? >.<

anonymous · Answer

Another question: The dashed triangle is a dilation image of the solid traingle with the center at the origin. Is the dilation an enlargement or a reduction? Find the scale factor of the dilation.

anonymous · Answer

@twopointInfinity Can you help??

anonymous · Answer

@megangray32 ?

anonymous · Answer

@Amistre64 Help?

anonymous · Answer

@phi can you help again?

amistre64 · Answer

compare the lengths ....

anonymous · Answer

Which question are you talking about, the first?

amistre64 · Answer

the one you posted, which is yes .. the first one.

anonymous · Answer

I thought about that, but how? I mean usually it would be like an image with a side of 3 to an image with a side of 6, and that's easy, it's 2, but how would i do that here?

amistre64 · Answer

the distance between 2 points is just the pythagorean thrm ...

amistre64 · Answer

you can step thru it as:

move the points so that one of them is at the origin .... 

the x,y parts of the remaining point define the legs of a right triangle

amistre64 · Answer

for example:

  A(9, 4)      B(5,-4).
-A(9, 4)     -A(9, 4)
------------------
     0,0         -4,-8,   what is the length of the hypotenuse of a rt tri with legs 4 and 8?

anonymous · Answer

a^2 + b^2 = c^2 so 16 + 64 = 80

anonymous · Answer

Oh, I see now! your a genius thanks! lol, take the hypotenuse of each triangle and then decide the scale factor.

amistre64 · Answer

yep

amistre64 · Answer

or, since the hypot is just a scaled factor of the legs ... compare legs

amistre64 · Answer

any similar linear measures for comparison work

amistre64 · Answer

A'(6, 3)     B'(3, -3)
   -(6,3)      -(6,  3)
------------------
     0,0         -3, -6  are the legs of the scaled version

anonymous · Answer

So the other one would be A'(6,3) and B'(3, -3), so 

  A'(6,3)   B'(3,-3)
-A' (6,3) -A'(6,-3)

(0,0)           (-3,-6)
 

9 + 36 = 45

amistre64 · Answer

you did the point subtraction like a pro ;)

anonymous · Answer

so now reduce 45/80?

anonymous · Answer

Thanks :)

amistre64 · Answer

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