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### Course: 8th grade (Eureka Math/EngageNY)>Unit 2

Lesson 2: Topic B: Sequencing the basic rigid motions

# 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!??!
• He must have practiced it many times since he's a master in areas of math and geometry. Great explanations, Sal!
• 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).
• I like bananas
• 💀same here homeslice
• 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