Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

Question

anonymous · Answer

help?

anonymous · Answer

@sleepyhead314 hey can you help with this?

sleepyhead314 · Answer

$$distance formula: \sqrt{(x _{2}-x _{1})^{2} + (y _{2}-y _{1})^{2}} $$

anonymous · Answer

can one of you please help me with this?

rizags · Answer

is there a diagram?

anonymous · Answer

no :/

rizags · Answer

ok then, since there is no diagram, i will assume that the transformation is a translation. As such, the distance between A and A' will be the same as the distance between B and B', therefore simply find the distance between A and A' using the distance formula and u will have the answer. If you need help with using that formula, let me know.

anonymous · Answer

need help

thesmartone · Answer

We need a point B to be able to calculate B'

rizags · Answer

not if its a translation only

rizags · Answer

and since no other information is provided in the question, then it is implied that it must be a translation

thesmartone · Answer

Where is point B? You need that to translate it to B' and find that point.

rizags · Answer

your answer is 5

rizags · Answer

plug everything into the distance formula and the output is 5

anonymous · Answer

thank you

rizags · Answer

and no, you dont need to translate B to B', because a translation of the entire figure moves all point by the same distance

thesmartone · Answer

Oh nevermind. lol I misread the question. *facepalm*