Locate the image of each vertex so that the reflection line is the perpendicular bisector of the segment between the vertex and its image.
Connect the new vertices to draw the image of the given figure.
Let's do it!
Step 1
We will begin by identifying the coordinates of ABCD and x=-4 as the line of reflection.
Step 2
Now we will locate the image of each vertex so that the line x=- 4 is the perpendicular bisector of the segment between the vertex and its image. The distance between the image vertex and the line x=- 4 must be the same as the distance between the preimage vertex and x=- 4. This is shown for vertex C below.
Step 3
Finally, we can connect the new vertices to draw the reflection image of the given figure.
As we can see, A'(-11,0), B'(-9,-2), C'(-11,-5), and D'(-15,-1) are the coordinates of the image of ABCD.
