📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A translation slides a figure without turning, flipping, or resizing it.
- Moving \(+9\) in the \(x\)-direction means add 9 to every \(x\)-coordinate.
- Moving \(-4\) in the \(y\)-direction means subtract 4 from every \(y\)-coordinate.
- The translated shape should be congruent to the original shape.
- A translation is a rigid transformation because size and shape stay the same.
✏️ Worked Examples
🧠 Math Vocabulary
- Translation: A transformation that slides a figure from one location to another.
- Slide: An informal word for a translation.
- Preimage: The original figure before a transformation.
- Image: The new figure after a transformation.
- x-movement: Horizontal movement. Positive means right, and negative means left.
- y-movement: Vertical movement. Positive means up, and negative means down.
- 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, and add or subtract integers from coordinates.
🚀 What Comes Next
Students can extend translations to reflections, rotations, dilations, and sequences of transformations on the coordinate plane.
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