Having the same size and shape

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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

Having the same size and shape

Explanation:
Congruence is what you call two figures that have the same size and shape. All corresponding sides have the same length and all corresponding angles are equal, and you can place one figure on top of the other by sliding, rotating, or flipping it so they line up exactly. The idea of similar figures is different: they share the same shape, but their sizes can differ, so their corresponding sides are in proportion rather than equal. Terms like equal or identical aren’t the standard way to describe two separate figures in geometry; congruent captures the exact match in both size and shape. So, having the same size and shape is the essence of congruent.

Congruence is what you call two figures that have the same size and shape. All corresponding sides have the same length and all corresponding angles are equal, and you can place one figure on top of the other by sliding, rotating, or flipping it so they line up exactly.

The idea of similar figures is different: they share the same shape, but their sizes can differ, so their corresponding sides are in proportion rather than equal. Terms like equal or identical aren’t the standard way to describe two separate figures in geometry; congruent captures the exact match in both size and shape. So, having the same size and shape is the essence of congruent.

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