Rectangle PQRS is graphed on the coordinate plane. If rectangle PQRS is translated to the right and then rotated 90∘ counterclockwise about vertex S to form rectangle P′Q′R′S′, which statement is true?
Responses
Rectangle PQRS is congruent to rectangle P′Q′R′S′ because translations and rotations are both nonrigid transformations, which do not preserve distance.
Rectangle P Q R S is congruent to rectangle P ′ Q ′ R ′ S ′ because translations and rotations are both nonrigid transformations, which do not preserve distance.
Rectangle PQRS is congruent to rectangle P′Q′R′S′ because translations and rotations are both rigid transformations, which preserve distance.
Rectangle P Q R S is congruent to rectangle P ′ Q ′ R ′ S ′ because translations and rotations are both rigid transformations, which preserve distance.
Rectangle PQRS is not congruent to rectangle P′Q′R′S′ because translations and rotations are both nonrigid transformations, which preserve distance.
Rectangle P Q R S is not congruent to rectangle P ′ Q ′ R ′ S ′ because translations and rotations are both nonrigid transformations, which preserve distance.
Rectangle PQRS is not congruent to rectangle P′Q′R′S′ because translations and rotations are both rigid transformations, which do not preserve distance.
Rectangle P Q R S is not congruent to rectangle P ′ Q ′ R ′ S ′ because translations and rotations are both rigid transformations, which do not preserve distance.