(04.01 MC) 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 n

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 I'?

Ordered pair of point I = (-0.8, 2.4) (A)

Question:

The complete question as seen in other website is stated below:

Hexagon IJKLMN is shown on the coordinate plane below.

If hexagon IJKLMN is dilated by a scale factor of '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 from the origin to create hexagon I'J'K'L'M'N', what is the ordered pair of point I'? (4 points)

A) (−0.8, 2.4)

B) (−5, 15)

C) (−2.5, 5)

D) (−0.4, 0.8)

Step-by-step explanation:

Hexagon IJKLMN on a coordinate plane with ordered pairs at:

I (-2 , 6)

J (4, 4)

K (6, -1)

L (-1, 2)

M (-4, -4)

N (-6, 2)

Scale factor of dilation = 2/5

To determine the ordered pair of point I, we would multiply the coordinate of I with the Scale factor of dilation.

Ordered pair of point I = 2/5 × (-2, 6)

= [(2/5 × -2), (2/5 × 6)]

= (-4/5, 12/5)

Ordered pair of point I = (-0.8, 2.4)

a reflection across the x axis and a 90 degree rotation left and right.

x:       y:  

-1         4

0         4

1         6

2         18

3         20