How would you use the distance formula to prove line AB and A'B' are congruent?

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Question

How would you use the distance formula to prove line AB and A'B' are congruent? 

http://prntscr.com/1tr7ma

anonymous · Answer

@.Sam.

amistre64 · Answer

by definind AB and A'B' seperately using the formula

anonymous · Answer

And if they come out the same, then they're equal.

amistre64 · Answer

correct

anonymous · Answer

Are you not going to welcome me to OpensStudy?

amistre64 · Answer

since you have the translation: (x+h, y+k)
$$\sqrt{x^2+y^2}=\sqrt{(x+h)^2+(y+k)^2}$$
$$x^2+y^2=(x+h)^2+(y+k)^2$$
$$x^2+y^2=x^2+2xh+h^2+y^2+2yk+k^2$$
$$0=2xh+h^2+2yk+k^2$$

amistre64 · Answer

I dont see why i would have to welcome you here ...

anonymous · Answer

I'm new to the website. 

*Smirking intensifies* 

Thanks for the explanation guy I've never met.

amistre64 · Answer

good luck ;)