Question

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)

Answer 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)