Locate the image of each vertex so that the reflection line is the perpendicular bisector of the segment whose endpoints are 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=x), we will identify the line y=x as the line of reflection.
Step 2
Now we will locate the image of each vertex so that the line y=x is the perpendicular bisector of the segment between the vertex and its image. The distance between the preimage vertex and the line y=x must be the same as the distance between its corresponding image vertex and the line y=x. This is shown for vertex A below.
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.
