Question

Rectangle ABCD is congruent to rectangle A″B″C″D″ . Which sequence of transformations could have been used to transform rectangle ABCD to produce ​ rectangle A″B″C″D″ ​ ? ​ Rectangle ABCD ​ was reflected across the y-axis and then across the x-axis. ​ Rectangle ABCD ​ was translated 8 units left and then 7 units down. ​ Rectangle ABCD ​ was translated 2 units left and then 3 units down. ​ Rectangle ABCD ​ was rotated 180° around the origin and then translated 7 units down. A coordinate graph with rectangle A B C D and rectangle A double prime B double primes C double prime and D double prime. Rectangle A B C D has points at A begin ordered pair 2 comma 5 end ordered pair, B begin ordered pair 2 comma 2 end ordered pair, C begin ordered pair 6 comma 2 end ordered pair, D begin ordered pair 6 comma 4 end ordered pair. Rectangle A double prime B double prime C double prime D double prime has points at A double prime begin ordered pair negative 6 comma negative 3 end ordered pair, B double prime begin ordered pair negative 6 comma negative 5 end ordered pair, C double prime begin ordered pair negative 2 comma negative 5 end ordered pair, D double prime begin ordered pair negative 2 comma negative 3 end ordered pair

Answer 1

Answer:- A. Rectangle ABCD was translated 8 units left and then 7 units down.

Explanation:-
We can see vertex A(2,4) of rectangle ABCD moves to A"(-6,-3), in a way that A translated 8 units left (-8)and 7 units down(-7) to A".
i.e.(2-8,4-7)=(-6,-3)
Similarly the other vertices of rectangle ABCD moves to form rectangle A"B"C"D"
B (2,2) → B" (-6,-5)
C (6,2) → C" (-2,-5)
D(6,4) → D" (-2,-3)