AReflected points are the same distance from but on opposite sides of the line of reflection before and after the reflection takes place.
BReflected points are the same distance from but on opposite sides of the line of reflection before and after the reflection takes place.
A
B
Practice makes perfect
Let's start by plotting the given points and connecting them to draw our rectangle.
To reflect this figure over the x-axis, we need to plot each vertex of the image A'B'C'D' the same distance from the line of reflection as its vertex on the preimage ABCD. Because our line of reflection is the x-axis, this will change the sign of the y-coordinates of the points, but the x-coordinates will remain unchanged.
Preimage ABCD
Image A'B'C'D'
Vertex
Distance From the x-axis
Vertex
Distance From the x-axis
A(- 4,- 3)
3 units below the x-axis
A'(- 4,3)
3 units above the x-axis
B(-4,-1)
1 unit below the x-axis
B'(-4,1)
1 unit above the x-axis
C(- 1,- 1)
1 unit below the x-axis
C'(- 1,1)
1 unit above the x-axis
D(- 1,- 3)
3 units below the x-axis
D'(- 1,3)
3 units above the x-axis
Let's do the reflection!
Let's draw again our rectangle.
This time we want to reflect this figure over the y-axis. This will change the sign of the x-coordinates of the points, but the y-coordinates will remain unchanged.
