📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A translation slides a figure without turning, flipping, or resizing it.
- Positive \(x\)-movement moves a figure right, and negative \(x\)-movement moves it left.
- Positive \(y\)-movement moves a figure up, and negative \(y\)-movement moves it down.
- Every vertex moves the same distance in the same direction.
- Translations are rigid transformations because the image is congruent to the preimage.
✏️ Worked Examples
🧠 Math Vocabulary
- Translation: A transformation that slides a figure from one location to another.
- Slide: Another way to describe a translation.
- x-movement: The horizontal movement. Positive means right, and negative means left.
- y-movement: The vertical movement. Positive means up, and negative means down.
- Preimage: The original figure before a transformation.
- Image: The new figure after a transformation.
- Rigid transformation: A transformation that preserves size and shape.
- Congruent figures: Figures that have the same size and same shape.
💡 Main Idea
A translation moves every point of a figure the same distance in the same direction. The coordinates change according to the horizontal movement and vertical movement, while the size and shape of the figure remain unchanged.
📚 What You Should Already Know
Students should know how to locate points on the coordinate plane, identify ordered pairs, determine positive and negative directions on the x- and y-axes, and understand that congruent figures have the same size and shape.
🚀 What Comes Next
Students can extend translations to other rigid transformations such as reflections and rotations, combine multiple transformations, and eventually study compositions of transformations and congruence.
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