△ABC is given with A(−2, 5), B(−6, 1), and C(3, −3). A mapping is applied to the coordinates of △ABC to get A′(2, −5), B′(6, −1), and C′(−3, 3). What transformation was performed? Explain.(1 point)

Question

Responses

The mapping (x, y)→(x, −y) was used, resulting in a reflection across y=x.
The mapping left parenthesis x comma y right parenthesis right arrow left parenthesis x comma negative y right parenthesis was used, resulting in a reflection across y equals x .

The mapping (x, y)→(−y, −x) was used, resulting in a reflection across y=−x.
The mapping left parenthesis x comma y right parenthesis right arrow left parenthesis negative y comma negative x right parenthesis was used, resulting in a reflection across y equals negative x .

The mapping (x, y)→(−x, −y) was used, resulting in a rotation of 180°
about the origin.
The mapping left parenthesis x comma y right parenthesis right arrow left parenthesis negative x comma negative y right parenthesis was used, resulting in a rotation of 180 degrees about the origin.

The mapping (x, y)→(−y, −x) was used, resulting in a rotation of 90°
counter clockwise about the origin.

Answer 1

The mapping (x, y)→(x, −y) was used, resulting in a reflection across y=x. This can be determined by observing that the y-coordinates of each point were transformed to their negatives, while the x-coordinates remained the same. This results in a reflection across the line y=x.