On the same grid she will draw parallelogram PQRS similar to parallelogram ABCD with the ratio of corresponding side lengths PQ and AB equal to 2 : 1. If the coordinates of vertex P are (-4, 4), what could be the coordinates of vertex Q?

Question

jim_thompson5910 · Answer

is this a continuation of a prev problem?

jim_thompson5910 · Answer

seems like something is missing, but I'm not sure

anonymous · Answer

no, nothing is missing. 
i'll post the answers for you

anonymous · Answer

(-8, 8)

(-4, 10)

(8, 3)

(2, 4)

jim_thompson5910 · Answer

is there a picture of PQRS ?

jim_thompson5910 · Answer

or ABCD ?

anonymous · Answer

attachment

jim_thompson5910 · Answer

ok thanks

jim_thompson5910 · Answer

AB is 3 units (since 5 - 2 = 3)

jim_thompson5910 · Answer

the ratio of the side lengths of PQRS to ABCD is 2:1

So PQ is twice is large as AB

So 

PQ = 2*AB

PQ = 2*3

PQ = 6

jim_thompson5910 · Answer

P is the point (-4, 4)

So you need to find a point that is 6 units away from (-4, 4) to find Q

jim_thompson5910 · Answer

The only point that fits is (2,4) since 2 - (-4) = 2+4 = 6

jim_thompson5910 · Answer

So Q is (2,4)

anonymous · Answer

ohhhh' okayy. thank you (:

jim_thompson5910 · Answer

you're welcome