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.

## Basic geometry and measurement

### Course: Basic geometry and measurement>Unit 14

Lesson 5: Properties & definitions of transformations

# 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.
• i like monkeys
• that is off topic from the video make sure you get to work💀
• 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 does rigid part mean in rigid transformation?
• Rigid just means that the whole shape goes through the same transformation, so with rotations, reflections, and translations, the shape should not change at all, just in a different place or orientation.
• 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.
• isn't rigid transformations the same as translation