Rectangle abcd is reflected over the x-axis, followed by a reflection over the y-axis, and then rotated 180 degrees about the origin. what is the location of point a after the transformations are complete? (1 point) rectangle abcd is shown. a is at negative 5, 1. b is at negative 5, 3. c is at negative 1, 3. d is at negative 1, 1. select one: a. (−5, 1) b. (5, −1) c. (−5, −1) d. (5, 1)

Reflection over the x-axis: (x, y) ⇒ (x, -y)

Reflection over the y-axis: (x, y) ⇒ (-x, y)

Rotation 180° about the origin: (x, y) ⇒ (-x, -y)

Applying all three transformations gives: (x, y) ⇒ (x, -y) ⇒ (-x, -y) ⇒ (x, y).

The point is reflected/rotated back to its original location. The appropriate selction is

... d. (5, 1)

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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step-by-step explanation: