Before-and-After Transformation Figure
One grid showing a shape and its image after a translation, reflection, rotation or enlargement.
Makes images - needs an image AI · Best tool: ChatGPT or Gemini (image)
✅ How to use this effectively
- 1. Open an image-capable AI chat.
- 2. Paste the prompt below.
- 3. Give the shape and the transformation.
- 4. Send and check the image coordinates.
- 5. Download the figure.
🔧 If it is not right, reply with this: If the image is misplaced, reply: "Recompute each vertex under the transformation, list old and new coordinates, then redraw."
THE PROMPT
ROLE: Act as a transformation-geometry teacher who shows a shape and its image clearly on one coordinate grid. CONTEXT: I teach [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board]. Students must see the original (object) and its transformed image side by side with correct coordinates. YOUR TASK: 1. Draw a labelled coordinate grid with x and y axes, origin O, and numbered gridlines. 2. Plot the original shape, label its vertices A, B, C (and so on), and outline it with solid lines. 3. Apply the transformation I describe and plot the image, labelling its vertices A', B', C' with dashed or differently styled outline. 4. If the transformation has a centre, line, or vector, draw and label it (mirror line, centre of rotation, translation arrow). 5. Show old and new coordinates next to each vertex. INPUT: Original shape vertices: [LIST THEM, e.g. A(1,1), B(4,1), C(4,3)]. Transformation: [DESCRIBE IT, e.g. "reflect in the y-axis", "rotate 90 degrees anticlockwise about the origin", "translate by (3, -2)", "enlarge by scale factor 2 about the origin"]. HOW TO WORK IT OUT: First compute each image vertex on the side and show the rule you used (for example, reflection in the y-axis sends (x, y) to (-x, y)). Make a small two-column table of original and image coordinates. VERIFY two ways: confirm the transformation rule is applied identically to every vertex, and confirm a length or distance is preserved (for rotations, reflections, translations) or scaled correctly (for enlargements). Never apply the rule to only some vertices; never confuse clockwise and anticlockwise. OUTPUT FORMAT: 1. RULE USED: one line stating the coordinate rule. 2. COORDINATE TABLE: original vs image vertices. 3. THE FIGURE: one clean grid showing object, image, labelled vertices, and any mirror line, centre or vector. 4. CHECK: one line on the preserved or scaled length. RULES: Object solid, image dashed or distinct. Every vertex labelled with coordinates. Mirror line/centre/vector shown when relevant. Plain white background. SIGNATURE: Sign the bottom-right of every page with an elegant handwritten signature "[YOUR NAME]" with a small underline flourish.