📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A translation slides a figure left, right, up, or down.
- The \(x\)-direction controls horizontal movement.
- The \(y\)-direction controls vertical movement.
- For \((x,y)\rightarrow(x+7,y-8)\), add 7 to each \(x\)-coordinate and subtract 8 from each \(y\)-coordinate.
💡 Main Idea
A translation moves every point of a figure the same distance in the same direction. In this example, triangle \(ABC\) is translated 7 units right and 8 units down.
✏️ Worked Example
🧠 Math Vocabulary
- Translation: A transformation that slides a figure from one location to another.
- x-direction: Horizontal movement. Positive values move right, and negative values move left.
- y-direction: Vertical movement. Positive values move up, and negative values move 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 with the same size and same shape.
📚 What You Should Already Know
Students should know how to plot ordered pairs, identify the positive and negative directions on the coordinate plane, and add or subtract integers.
🚀 What Comes Next
Students can extend translations to reflections, rotations, dilations, and sequences of transformations on the coordinate plane.
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