Rotations as Reflections
Rotations review
Reflections review
Translations review
But what if the lines aren't parallel?
What do you think is happening to the triangle here? What did you notice?
Below you can see our original rotation - triangle DEF rotating 140° counterclockwise around point J. You'll also see line MN (purple) and line KL (orange) with their intersecting point O and the angle between them. Move around the line MN, line KL, and point O and put them in a place where you can reflect the triangle twice (once over each line) and get the same end result as the rotation.
NOTE: You can move points K, L, M, N individually to get the line/intersection where you want it. You can also select the middle of the line and move the whole thing. Make sure you are using the selection tool to move things.
Figure out the intersecting lines needed to match the rotation with reflections.
What did you need to do to make the second reflection match the original rotation?
Imagine that the rotation angle at point J was 100° instead of 140°. Describe the lines, angle, and connecting point you would need to be able to reflect twice and match the rotation.