Question

Which statement correctly describes the relationship between quadrilateral ABCD and quadrilateral A′B′C′D′ ? An x y coordinate plane 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.

Answer 1

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."