网格上的图形变换
在方格纸或坐标网格上表示并完成几何变换：关于水平、竖直和斜向的对称轴（包括坐标轴）作轴对称；用向量或向左/右/上/下移动描述平移；绕指定中心点作90°或180°旋转。能用准确的数学语言精确描述每种变换，并通过比较位置、方向和大小，判断哪种变换能把一个图形变成它的像。
Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size
学习证据 / Evidence
- 在网格中按给定的对称轴作一个图形的轴对称图形，并标出新图形的坐标。
- 按给定格数将图形沿水平和竖直方向平移，并描述这个移动。
- 在网格中绕给定中心将图形旋转90°或180°，并检查旋转后的图形是否与原图形全等。
- Reflect a shape in a given mirror line on a grid and label the new coordinates
- Translate a shape by a given number of squares horizontally and vertically and describe the movement
- Rotate a shape 90° or 180° about a given centre on a grid and check the image is congruent to the original
评估问题 / Assessment
如果{{name}}在方格纸上看到一个图形和它的镜像，能否画出准确的对称轴，并精确描述这个轴对称变换（包括对称轴的位置），而不只是说“它翻过来了”？
If {{name}} sees a shape and its mirror image on squared paper, can they draw in the exact mirror line, and describe the reflection precisely — including where the line of reflection is — without just saying 'it flipped'?