Question

The coordinates of a quadrilateral are (5, 8), (7, 10), (9, 12), and (11, 14). After a transformation, the sign of the x-coordinate and the sign of the y-coordinate for each ordered pair have changed. Which type of transformation occurred? A) 180° rotation B) (x,y)→(x + 2, y + 2) C) reflection across the y-axis D) reflection across the x-axis

Answer 1

A

Explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Since the sign of both coordinates have changed then the transformation is

A rotation of 180° → A