Which transformation moves a figure in a straight line without rotating it?

Prepare for your Leaving Certificate Mathematics exam with a comprehensive practice test featuring key definitions. Use flashcards, multiple choice questions, and detailed explanations to ensure success and mastery of fundamental math concepts.

Multiple Choice

Which transformation moves a figure in a straight line without rotating it?

Explanation:
Moving a figure in a straight line without rotating it is translation. In a translation, every point of the figure shifts by the same amount in the same direction, so the overall shape and its orientation stay exactly the same. You can picture it as sliding the whole figure along a straight path without turning it. The other options involve turning or flipping: reflecting the figure across a line (axial symmetry) creates a mirror image, rotating around a point (rotation) changes the orientation, and a 180-degree turn around a point (central symmetry) is a rotation in disguise. So the straight-line slide with no rotation is translation.

Moving a figure in a straight line without rotating it is translation. In a translation, every point of the figure shifts by the same amount in the same direction, so the overall shape and its orientation stay exactly the same. You can picture it as sliding the whole figure along a straight path without turning it. The other options involve turning or flipping: reflecting the figure across a line (axial symmetry) creates a mirror image, rotating around a point (rotation) changes the orientation, and a 180-degree turn around a point (central symmetry) is a rotation in disguise. So the straight-line slide with no rotation is translation.

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