If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

### Course: Geometry (FL B.E.S.T.)>Unit 3

Lesson 1: Rigid transformations overview

# Rigid transformations: preserved properties

Rigid transformations, like rotations and reflections, change a shape's position but keep its size and shape. These transformations preserve side lengths, angle measures, perimeter, and area. But they might not keep the same coordinates or relationships to lines outside the figure.

## Want to join the conversation?

• Aren't translations also rigid transformations?
• Yes, translations are rigid transformations. They too preserve angle measure and segment length.
• isn't the diameter also something that is also preserved?
• Yes since diameter is also related to the radius just like area and circumference.
• Guys im so upset I dont know what it is about math my brain just shuts off and i have no idea what he is saying or how to do it.
• There are many people who feel like they suck at math. My advice is that as long as you keep exposing yourself to mathematics and trying to do them, you can definitely get as good as you want. Nurture vs nature.
• How did he do that so quickly!??!
• Cause he has a big brain
(1 vote)
• what is the rule that he used? (I know we don't have to know, but it would be helpful.)
• in a reflection where the slope is one, the x coordinate becomes the y coordinate and vice versa. for example: (x,y) or (9,0) becomes (y,x) or (0,9).
• can you mix translation an reflection together
• Yes, and it has a name: Glide reflection
• Can you mix translation and reflection together?
• No, you cannot. You must do one first and then another. However, I do not know everything, so this might not be the answer.
• What are translations, and how are they different from transformations
• You can think of transformations as a Shape, and translations as a Circle. It is obvious to see that a circle is a shape as well.
What I am trying to say is that transformations include translations as well, and a translation is a type of transformation.
For a translation, you simply move the graph, preserving its size and rotation.
• why did it say i got 1 out of four correct when i got all right.
• Did you ask for a hint?
If so, the question will be marked as wrong even though you gave the correct answer.