Square ABCD is shown with four congruent images such that ABCD FGHI JKLM NOPQ RSTU.

For which square is a reflection necessary to produce the transformed figure?
FGHI
JKLM
NOPQ
RSTU

Explanation:

The question states the congruent images:

The order of the letters matters.

For instance, ABCD ≅ FGHI means that the vertex A is transformed into vertex F, the vertex B is transformed into the vertex G, the vertex C is transformed into vertex H, and the vertex D is transformed into vertex I.

From the images, the square ABCD is just shifted 9 units down to form the square FGHI. No refelection is needed.

As per the square RSTU only a reflection of square ABCE accross the y-axis makes the vertex A into vertex R, the vertex B into the vertex S, the vertex C into the vertex T, and the vertex D into the vertex U.

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step-by-step explanation: