A rigid transformation that flips a figure over a line (the mirror line), producing a mirror image.
Like looking in a mirror—left and right are swapped, but size and shape are perfectly preserved.
Showing a random 20 of 50 problems.
Example 1
medium
Reflect (−2,3) across the line y=x.Reflect (−2,3) across y=x
Example 2
easy
A point lies exactly on the mirror line. Where does its reflection go?
Example 3
hard
Reflect y=2x+1 across the y-axis. Write the new equation.
Example 4
medium
Reflect (6,1) across the horizontal line y=3.
Example 5
medium
A triangle has vertices A(1,1),B(4,1),C(4,5). Reflect across the x-axis.Reflect triangle ABC across the x-axis
Example 6
easy
Reflect (−3,8) across the y-axis.Reflect (−3,8) across the y-axis
Example 7
easy
Reflect the point P(3,−4) over the x-axis. What are the coordinates of the image?Reflect P(3,−4) over the x-axis
Example 8
challenge
Reflect (3,5) across the y-axis, then across the x-axis. What single transformation results, and what's the image?Reflect (3,5) across y-axis, then x-axis
Example 9
hard
A point on the mirror line y=x is its own image under reflection. Give a non-origin example.
Example 10
medium
Reflect (−1,5) across the vertical line x=3.
Example 11
medium
Reflect (4,1) across the line y=x.Reflect (4,1) across y=x
Example 12
easy
True or false: reflection changes a clockwise letter to a counterclockwise one.
Example 13
easy
Does a reflection change a figure's size or shape?
Example 14
medium
Reflect the point Q(−2,5) over the line y=x. Find the image.Reflect Q(−2,5) over y=x
Example 15
hard
Triangle ABC has vertices A(2,3),B(4,1),C(5,6). Find the image of A under reflection over y=x.Find A' after reflecting triangle ABC over y=x
Example 16
hard
Reflect the line y=2x+1 across the x-axis. Write the new equation.
Example 17
medium
Why is the mirror line the perpendicular bisector of the segment joining a point to its image?
Example 18
easy
Reflect (7,−2) across the x-axis.Reflect (7,−2) across the x-axis
Example 19
medium
Reflect the point (2,5) across the vertical line x=4.
Example 20
challenge
A laser at (0,4) must hit a target at (6,2) by bouncing off the mirror line y=0 (the x-axis). Find the bounce point using reflection.Find the bounce point on y=0