三角形和四边形的性质
Properties of triangles and quadrilaterals
使用恰当的语言推导并说明三角形、四边形和圆的性质，包括内角、对角线、对称性以及边长之间的关系。
Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths
学习证据 / Evidence
- 列出并验证平行四边形的性质（对边平行且相等、对角相等、对角线互相平分）。
- 解释为什么正方形既是矩形的一种特例，也是菱形的一种特例。
- 推导圆的半径、直径和周长之间的关系。
- List and verify properties of a parallelogram (opposite sides parallel/equal, opposite angles equal, diagonals bisect each other)
- Explain why a square is a special case of both a rectangle and a rhombus
- Derive the relationship between the radius, diameter, and circumference of a circle
评估问题 / Assessment
如果你问{{name}}为什么矩形的对角线总是相等，{{name}}能利用图形的性质来解释，而不是仅仅通过测量来验证吗？
If you ask {{name}} why the diagonals of a rectangle are always equal in length, can they explain it using the properties of the shape — rather than just measuring to check?