A parallelogram with vertices H(-2, 2), J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.

H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?

A. (x, y) -> (3x, 3y)
Original

B. (x, y) -> (2.5x, 2.5y)

C. (x, y) -> (2x, 2y)

D. (x, y) -> (1.5x, 1.5y)

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

the diagram shows you   triangle def with de=4, df=9 and de≠df≠ef.

the sum of the lengths of two triangles' sides are always greater than the length of the third side:

substitute sides lengths:

then 5< ef< 13 (option 3 is true).

def is a scalene triangle with all sides of different lengths (option 5 is true, option 2 is false).

answer: correct choices are 1, 3 and 5