Question:
Which transformation moves an object without changing its shape, size, or orientation?
Which transformation moves an object without changing its shape, size, or orientation?
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Which move only slides the object to a new position without turning or resizing it?
Updated On: Jul 2, 2026
- Translation
- Scaling
- Rotation
- Shearing
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The Correct Option is A
Solution and Explanation
Step 1: A rigid-body transformation shifts every point of an object by the same fixed amount. Translation does exactly this.
Step 2: Translation adds a constant offset to each point: \( x' = x + t_x \) and \( y' = y + t_y \). Since the same \( t_x, t_y \) apply to all points, distances and angles between points stay the same.
Step 3: Check the others. Scaling changes size, rotation changes orientation, and shearing skews the shape. Only translation leaves shape, size, and orientation untouched.
Step 4: So the correct answer is Translation.
Step 2: Translation adds a constant offset to each point: \( x' = x + t_x \) and \( y' = y + t_y \). Since the same \( t_x, t_y \) apply to all points, distances and angles between points stay the same.
Step 3: Check the others. Scaling changes size, rotation changes orientation, and shearing skews the shape. Only translation leaves shape, size, and orientation untouched.
Step 4: So the correct answer is Translation.
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