Parallelogram JKLM has the coordinates J (0, 7), K (12, 7), L (10, 2), and M (-2, 2). Which of the following sets of points represents a dilation from the origin of parallelogram JKLM? A. J' (0, 28), K' (48, 28), L' (40, 8), M' (-8, 8) B. J' (4, 11), K' (16, 11), L' (14, 6), M' (2, 6) C. J' (0, 7), K' (48, 7), L' (40, 2), M' (-8, 2) D. J' (0, 28), K' (48, 7), L' (40, 2), M' (-2, 8)

help me graph these ?

Question

Parallelogram JKLM has the coordinates J (0, 7), K (12, 7), L (10, 2), and M (-2, 2). Which of the following sets of points represents a dilation from the origin of parallelogram JKLM? A. J' (0, 28), K' (48, 28), L' (40, 8), M' (-8, 8) B. J' (4, 11), K' (16, 11), L' (14, 6), M' (2, 6) C. J' (0, 7), K' (48, 7), L' (40, 2), M' (-8, 2) D. J' (0, 28), K' (48, 7), L' (40, 2), M' (-2, 8)

help me graph these ?

perl · Answer

a dilation means you multiply each point by a constant k

perl · Answer

so the plane transformation
 (a,b) -> ( ka, kb)   

represents a dilation

perl · Answer

so what happens if we multiply each point by 4

perl · Answer

(0,7) -> (0*4 , 7*4) 
(12,7) -> (12*4, 7*4) 
etc

perl · Answer

can you solve it now with these hints?

anonymous · Answer

but what do i do with the results ?

perl · Answer

you multiply them,

perl · Answer

match the answer with the correct transformation

anonymous · Answer

( a lot of questions i know sorry ) How do i know which number to multiply them by ?