📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A translation slides a figure without changing its size, shape, or orientation.
- Moving 9 units right means adding 9 to each \(x\)-coordinate.
- Moving 4 units down means subtracting 4 from each \(y\)-coordinate.
- Every vertex of the figure moves the same distance in the same direction.
- A translation is a rigid transformation, so 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. In this example, each point moves 9 units right and 4 units down.
📚 What You Should Already Know
Students should know how to plot ordered pairs, identify positive and negative directions on the coordinate plane, and understand that congruent figures have the same size and shape.
🚀 What Comes Next
Students can extend translations to reflections, rotations, and sequences of transformations on the coordinate plane.
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