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 plotting the given vertices and graphing the figure. Since the given reflection is R_(y -axis), we will identify the y -axis as the line of reflection.
Step 2
Now we will locate the image of each vertex so that the y -axis is the perpendicular bisector of the segment between the vertex and its image. The distance between the image vertex and the y -axis must be the same as the distance between the preimage vertex and the y -axis. This is shown for vertex B below. Notice that vertex I lies on the y -axis, so its image is itself.
If you need further explanation on how to draw a line that passes through a given point and is perpendicular to a given line, please refer to this explanation.
Step 3
Finally, we can connect the new vertices to draw the reflection image of the given figure.
