The rule ry = x • t4, 0(x, y) is applied to trapezoid abcd to produce the final image a"b"c"d". which ordered pairs name the coordinates of vertices of the pre-image, trapezoid abcd? check all that apply. (–1, 0) (–1, –5) (1, –1) (1, –4) (7, 0) (7, –5)

The trapezium image is given in the attached file.coordinates of the final image a"b"c"d" are as follows; a" - (-4,5)b" - (-1,5)c" - (0,3)d" - (-5,3)the equations for the transformation are given below  r y = xthis means that a reflection has occurred. the preimage or the original image has flipped over y = x lines. r y = x, (x,y) after reflection (y,x)the preimage  y coordinate values become the x coordinate values in the final image and vice versa.next part of the equation is; t4,0 (x,y)this means that x coordinates have been shifted 4 units to the right and y coordinates stays the same.for point a in the preimage a is the x coordinate and b is y coordinate.first translation             (x+4,y),substituting a and b,  (a+4,b)next reflection (x,y) = (y,x)substituting a+4 and b                                  = (b, a+4)then b is the new x coordinate and a+4 is new y coordinate of a"coordinates of a" (-4,5)then b = (-4)and a+4 = 5            a = 1since a is x coordinate and b is y coordinate of a then the original coordinates of a are (x,y)= (1,-4)carrying out the same for bb" = (-1,5)using the above derived  equation = (b,a+4)b = -1a+4 = 5a = 1b (x,y) = (1,-1)c" - (0,3)b = 0a+4 = 3a = -1c (x,y) = (-1,0)d" - (-5,3)b = -5a+4 = 3a = -1d (x,y) = (-1,-5)the correct ordered pairs are  (1,-4)(1,-1)(-1,0)(-1,-5)