Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2), and D(1,2) dilates with respect to the origin to give rectangle A'B'C'D'. If line A'B' = 6, what is the scale of the dilation?

a) 6
b) 3
c) 2
d) 1/2
e) 4

Question

Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2), and D(1,2) dilates with respect to the origin to give rectangle A'B'C'D'. If line A'B' = 6, what is the scale of the dilation?

a) 6
b) 3
c) 2
d) 1/2
e) 4

amistre64 · Answer

you might want to "place" these things at the origin to compare them

amistre64 · Answer

i say, move A to the origin, and adjust the rest by A

A(1,1), B(4,1), C(4,2), and D(1,2)
 -1-1    -1-1   -1-1           -1-1
-----------------------------
   0,0     3,0        3,1            0,1

amistre64 · Answer

since AB can be easily determined as originally 3;  and they say its dilated to 6

3 * ?  = 6

anonymous · Answer

the answers C?

amistre64 · Answer

no, the answer is 2, the option is C  :)

anonymous · Answer

lol thanks

amistre64 · Answer

youre welcome :)