Which statement correctly describes the relationship between quadrilateral ABCD and quadrilateral A′B′C′D′ ? An x y coordinate p
lane is shown. In quadrant 1 quadrilateral A B C D has vertices at begin ordered pair 1 comma 2 end ordered pair, begin ordered pair 2 comma 1 end ordered pair, begin ordered pair 6 comma 1 end ordered pair and begin ordered pair 6 comma 3 end ordered pair, respectively. In quadrant 2 quadrilateral A prime B prime C prime D prime has vertices at begin ordered pair negative 6 comma 2 end ordered pair, begin ordered pair negative 5 comma 1 end ordered pair, begin ordered pair negative 1 comma 1 end ordered pair and begin ordered pair negative 1 comma 3 end ordered pair, respectively. Quadrilateral ABCD is not congruent to quadrilateral A′B′C′D′ because there is no sequence of rigid motions that maps quadrilateral ABCD to quadrilateral A′B′C′D′ . Quadrilateral ABCD is congruent to quadrilateral A′B′C′D′ because you can map quadrilateral ABCD to quadrilateral A′B′C′D′ using a reflection across the y-axis, which is a rigid motion. Quadrilateral ABCD is congruent to quadrilateral A′B′C′D′ because you can map quadrilateral ABCD to quadrilateral A′B′C′D′ using a translation 7 units to the left, which is a rigid motion. Quadrilateral ABCD is congruent to quadrilateral A′B′C′D′ because you can map quadrilateral ABCD to quadrilateral A′B′C′D′ using a translation 7 units to the right, which is a rigid motion.
The answer is; "Quadrilateral ABCD is congruent to quadrilateral A′B′C′D′ because you can map quadrilateral ABCD to quadrilateral A′B′C′D′ using a translation 7 units to the right, which is a rigid motion."
