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📚 Topic Summary
In mathematics, a translation is a transformation that slides a figure from one position to another without changing its size, shape, or orientation. It's like picking up a drawing and placing it somewhere else on the page without rotating or flipping it. Translations are defined by a vector that indicates the direction and distance of the slide. Understanding translations is crucial for grasping more complex geometric concepts later on.
This quiz will test your knowledge of translations through vocabulary, fill-in-the-blank questions, and a critical thinking exercise. Good luck!
🧠 Part A: Vocabulary
Match the term with its definition:
- Term: Image
- Term: Pre-image
- Term: Translation Vector
- Term: Transformation
- Term: Coordinate Plane
- Definition: A change in the size, shape, or position of a figure.
- Definition: A plane formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis).
- Definition: The original figure before a transformation.
- Definition: The figure after a transformation.
- Definition: A vector that specifies the distance and direction a figure is moved.
✍️ Part B: Fill in the Blanks
A translation is a type of __________. It moves every point of a figure the same distance in the same __________. A translation is defined by its __________, which shows how far and in what direction the figure is moved. The original figure is called the __________ and the new figure is called the __________. Translations preserve the size and __________ of the figure.
🤔 Part C: Critical Thinking
Explain in your own words how translations are used in real-world applications. Provide at least two specific examples.
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