What series of transformations from △abc to △def shows that △abc≅△def ?
a . a reflection across the y-axis followed by a translation of 1 unit right and 2 units up
b . a clockwise rotation of 90° about the origin followed by a translation of 4 units right and 4 units up
c. a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down
d . a reflection across the line y = x followed by a positive rotation of 270° about the center

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.