Which transformation reflects a figure through a point?

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 reflects a figure through a point?

Explanation:
Reflecting through a point means every point of the figure has a partner on the opposite side of a fixed center, with that center exactly in the middle of the pair. That is central symmetry: a point reflection. It’s the same as turning the figure 180 degrees about the chosen center, so the image is the half-turn of the original. This differs from a reflection in a line (axial symmetry), which flips across a straight mirror, and from a translation, which slides the whole figure without turning.

Reflecting through a point means every point of the figure has a partner on the opposite side of a fixed center, with that center exactly in the middle of the pair. That is central symmetry: a point reflection. It’s the same as turning the figure 180 degrees about the chosen center, so the image is the half-turn of the original. This differs from a reflection in a line (axial symmetry), which flips across a straight mirror, and from a translation, which slides the whole figure without turning.

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