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Transformations: Reflections & Translations
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What you will learn from this videoWhat you will learn
- We'll learn about REFLECTIONS on a coordinate plane.
- We will also learn about TRANSLATIONS on a coordinate plane.
- And we'll see how this knowledge can help us design a website, create special effects, and even make posters!
- Discussion Questions
Before Video
How many quadrants are in the coordinate plane?ANSWERFour.
Start at the origin, the intersection of the x- and y-axes. Use the x-coordinate to move right or left from the origin, and use the y-coordinate to move up or down.
Find the closest two vertices; the x-coordinate of one point and the y-coordinate of the other form the missing point’s coordinate pair.
The y-coordinates are opposites.
The x-coordinates are opposites.
After Video
What are two common types of transformations?ANSWERReflections, translations
They both result in an image that is congruent to a pre-image.
Reflections make mirror images, while translations slide a shape on the coordinate plane.
Opposites, addition, and subtraction
Use transformations to move (or “map”) one shape onto the other.
- Vocabulary
- Number line DEFINE
A horizontal or vertical line used to order numbers from least on the left or bottom to greatest on the right or top.
- Origin DEFINE
The point at (0, 0) on the coordinate plane.
- Transformation DEFINE
Changing a shape, or parts of a shape, from one place to another.
- Reflection DEFINE
Flipping a shape, often over the x-axis or the y-axis.
- Translation DEFINE
Moving a shape from one place to another.
- Prime DEFINE
The notation for a point that is transformed (the symbol ′). Additional marks can be made, such as double prime (′′), triple prime (′′′), and so on, for further transformations.
- Pre-image DEFINE
An original shape before it is transformed.
- Image DEFINE
A new shape after it is transformed.
- x-coordinate DEFINE
The first number of a coordinate pair, representing a distance to the left or right of the y-axis.
- y-coordinate DEFINE
The second number of a coordinate pair, representing a distance above or below the x-axis.
- Congruent DEFINE
Shapes that are identical, even if they are in different locations.
- Number line DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide