Quadrilateral ABCD with coordinates A (-6, 3). B (-4, 6), C (-2,5), and D (-3, 2) is mapped
onto quadrilateral A'B'C'D' with coordinates
A' (8, 1), B' (6, 4), C' (4, 3), and D' (5, 0). Are the
quadrilaterals congruent?

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.