Reflections across Y
Reflect the point (3, 2) across the y-axis.
(-3, 2)
Reflect (4, 1) across the x-axis.
(4, -1)
Reflect (2, 5) across the origin.
(-2, -5)
Reflect (3, 4) across y = x.
(4, 3)
What does a reflection do to a figure?
It flips/turns the figure over a line, creating a mirror image.
Reflect (-5, 3) across the y-axis.
(5, 3)
Reflect (-2, 6) across the x-axis.
(-2, -6)
Reflect (-4, 3) across the origin.
(4, -3)
Reflect (-2, 7) across y = x.
(7, -2)
What happens to the size and shape of a figure after a reflection?
The size and shape stay the same; only the position/orientation changes.
Point (7, -4) is reflected across the y-axis. What are the new coordinates?
(-7, -4)
Point (-6, -3) is reflected across the x-axis. What are the new coordinates?
(-6, 3)
Point (5, -8) is reflected across the origin. What are the new coordinates?
(-5, 8)
Point (6, -2) is reflected across y = x. What are the new coordinates?
(-2, 6)
What coordinate rule changes (x, y) → (-x, -y)?
Reflection across the origin.
A point is reflected across the y-axis and becomes (-9, 4). What were the original coordinates?
(9, 4)
A point is reflected across the x-axis and becomes (3, -8). What were the original coordinates?
(3, 8)
A point is reflected across the origin and becomes (-7, -5). What were the original coordinates?
(7, 5)
A point is reflected across y = x and becomes (8, -3). What were the original coordinates?
(-3, 8)
A point is (4, -7). After a reflection, its image is (-4, 7). What line was it reflected across?
Reflection across the origin.
Triangle ABC has vertices (2, 3), (5, 3), (4, 6). What are the coordinates after reflecting across the y-axis?
(-2, 3) (-5, 3) (-4, 6)
Triangle ABC has vertices (-2, 4), (-5, 4), (-3, 7). What are the coordinates after reflecting across the x-axis?
(-2, -4), (-5, -4), (-3, -7)
Triangle ABC has vertices (1, 2), (4, 2), (3, 5). What are the coordinates after reflecting across the origin?
(-1, -2), (-4, -2), (-3, -5)
Triangle ABC has vertices (2, 5), (4, 1), (6, 3). What are the coordinates after reflecting across y = x?
(5, 2) (1, 4) (3, 6)
A point is reflected across the y-axis, then across the x-axis. Starting at (3, -5), where does it end up?
(-3, 5)