📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A translation slides a figure without turning, flipping, or resizing it.
- The rule \(+7\) in the \(x\)-direction means add 7 to each \(x\)-coordinate.
- The rule \(-8\) in the \(y\)-direction means subtract 8 from each \(y\)-coordinate.
- The preimage and image are congruent because translations are rigid transformations.
💡 Main Idea
To translate a figure on the coordinate plane, apply the same change to every point. For this example, each point moves 7 units right and 8 units down.
✏️ Worked Example
🧠 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.
- Rigid Transformation: A transformation that preserves size and shape.
- Non-Rigid Transformation: A transformation that changes size or shape, such as a dilation with a scale factor not equal to 1.
- 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
After translations, students can compare other transformations, including reflections, rotations, dilations, and sequences of transformations.
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