Answer:
A, B, C, D -> A sequence of reflections across the x- and y-axis, in any order
E, F, G, H -> A translation 3 units right and 2 units down (this option was mistyped in the options)
O, P, Q, R -> A translation 2 units left and 3 units up (this option was mistyped in the options)
W, X, Y, Z-> A translation 3 units right and 3 units up (this option was mistyped in the options)
Step-by-step explanation:
Given quadrilateral JKLM has vertices
J(8, 4), K(4, 10), L(12, 12), and M(14, 10)
A sequence of reflections across the x- and y-axis, in any order transform coordinates (x, y) in (-x, -y)
J(8, 4) -> A(-8, -4)
K(4, 10) -> B(-4, -10)
L(12, 12)-> C(-12, -12)
M(14, 10) -> D(-14, -10)
A translation 3 units right and 2 units down gives the points:
J(8, 4) -> E(11, 2)
K(4, 10) -> F(7, 8)
L(12, 12)-> G(15, 10)
M(14, 10) -> H(17, 8)
A translation 2 units left and 3 units up gives the points:
J(8, 4) -> O(6, 7)
K(4, 10) -> P(2, 13)
L(12, 12)-> Q(10, 15)
M(14, 10) -> R(12, 13)
A translation 3 units right and 3 units up gives the points:
J(8, 4) -> W(11, 7)
K(4, 10) -> X(7, 13)
L(12, 12)-> Y(15, 15)
M(14, 10) -> Z(17, 13)