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Mathematics · 术语表

什么是 Parallelogram?

Definition 52.7 Primary & Middle School Mathematics · 第 52 章 — Central Symmetry and Parallelograms

A parallelogram is a quadrilateral whose diagonals cross at their common midpoint. That crossing point is then a center of symmetry of the figure: each vertex is the half-turn image of the opposite vertex.

A parallelogram and its center O: the diagonals (red) cut each other at their midpoints, opposite sides are parallel and equal (tick marks).
A parallelogram and its center OO: the diagonals (red) cut each other at their midpoints, opposite sides are parallel and equal (tick marks).

示例

Example 52.10

ABCDABCD has (AB)∥(CD)(AB) \parallel (CD) and AB=CD=5AB = CD = 5 cm. Criterion 3 applies: ABCDABCD is a parallelogram — so without any further measuring we also know AD=BCAD = BC, (AD)∥(BC)(AD) \parallel (BC), and that its diagonals cut each other in their middle.

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