Hexagon IJKLMN is shown on the coordinate plane below:

Hexagon IJKLMN on a coordinate plane with ordered pairs at I negative two, six, at J four, four, at K six, negative one at, L negative one, two, at M negative four, negative four, at N negative six, two

If hexagon IJKLMN is dilated by a scale factor of two fifths from the origin to create hexagon I'J'K'L'M'N', what is the ordered pair of point L'?

(−0.4, 0.8)
(−5, 15)
(−0.8, 2.4)
(−2.5, 5)

Hexagon IJKLMN is shown on the coordinate plane below Hexagon IJKLMN on a coordinate plane with ordered pairs at I negative two six at J four four at K six nega class=

Respuesta :

Answer:

(-0.4,0.8)

Step-by-step explanation:

Dilation is a form of transformation in which the figure is either stretched or shrunk by a scaling factor.

If scaling factor >1 then figure is dilated

if scaling factor<1 and >0 then figure is shrunk

now in given case scaling factor = 2/5

and center of dilation is origin hence new ordered pair of point L will be

(-1(2/5),2(2/5))

=(-2/5,4/5)

=(-0.4,0.8) !