Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left and 4 units up. Finally, he reflects the image over the line x = 1. Are the original and transformed images congruent? Justify your answer.
+118629 Of course they are congruent.
The shape has not been changed. it has not been stretched or enlarged or anything.
It has just been move around the place.
Think of your pen.
Pick it up
Move it to the other side of the room
turn it upside down.
suspend it from a wire and let it twist.
bury it under the house.
Is it still the same same pen?
Take your hands.
They are the same shape and size (near enough)
They are congruent even though they are reflections of one another.
