Question

Rectangle ABCD is congruent to rectangle .

Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle ?



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

B.
Rectangle ABCD was reflected across the y-axis and then across the x-axis.

C.
Rectangle ABCD was translated 2 units left and then 3 units down.

D.
Rectangle ABCD was rotated 180° around the origin and then translated 7 units down.

Answer 1

The correct answer for the question that is being presented above is this one: "A. Rectangle ABCD was translated 8 units left and then 7 units down." Rectangle ABCD is congruent to rectangle. The sequence of transformations that could have been used to transform rectangle ABCD to produce rectangle is that Rectangle ABCD was translated 8 units left and then 7 units down.

Answer 2

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)