Question

select the sequence of transformations that will carry rectangle a onto rectangle a.
a reflect over y - axis, reflect over line y = 5, then 3 units left
b reflect over x - axis, reflect over line y = 5, then 3 units left
c reflect over x - axis, reflect over line y = 5, then 3 units right
d reflect over y - axis, reflect over line y = 5, then 3 units right

Explanation:

Step1: Analyze reflection over y - axis

Reflecting over the y - axis changes the x - coordinate sign. If we reflect rectangle A over the y - axis, it will be on the left - hand side of the y - axis.

Step2: Analyze reflection over line \(y = 5\)

After reflection over the y - axis, reflecting over the line \(y = 5\) will adjust the vertical position.

Step3: Analyze translation

Finally, moving 3 units left will position it as rectangle \(A'\).

Answer:

A. reflect over y - axis, reflect over line \(y = 5\), then 3 units left