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 triangle.
To reflect this figure over the x-axis, we need to plot each vertex of the image A'B'C' the same distance from the line of reflection as its vertex on the preimage ABC. 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 ABC
Image A'B'C'
Vertex
Distance From the x-axis
Vertex
Distance From the x-axis
A(2,0)
0 units above the x-axis
A'(2,0)
0 units below the x-axis
B(1,5)
5 units above the x-axis
B'(1,- 5)
5 units below the x-axis
C(4,3)
3 units above the x-axis
C'(4,- 3)
3 units below the x-axis
Let's do the reflection!
Let's plot again the given points and draw our triangle.
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.
