Rectangle abcd is translated (x + 2, y − 3) and then rotated 180° about the origin. complete the table to show the locations of a″, b″, c″, and d″ after both transformations.

rectangle abcd is shown. a is at negative 5, 1. b is at negative 5, 3. c is at negative 1, 3. d is at negative 1, 1.

a (− 5, 1) a″ ?
b (−5, 3) b″ ?
c (−1, 3) c″ ?
d (−1, 1) d″ ?
a) a″ (−2, −3), b″ (0, −3), c″ (0, 1), d″ (−2, 1)
b) a″ (−3, −2), b″ (−3, 0), c″ (1, 0), d″ (1, −2)
c) a″ (3, 0), b″ (3, 2), c″ (−1, 2), d″ (−1, 0)
d) a″ (3, 2), b″ (3, 0), c″ (−1, 0), d″ (−1, 2)