Solution With A Labelled Diagram
A worked solution plus a clear text-described diagram you can draw.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Open any free AI chat.
- 2. Paste this prompt.
- 3. Add your question.
- 4. Send and read the diagram description and solution.
- 5. Draw the diagram from the description on the board.
🔧 If it is not right, reply with this: If the diagram is unclear, reply: "Describe the diagram more precisely: list every point, line, and angle with its label and position."
THE PROMPT
ROLE: Act as a geometry teacher who always starts with a clearly labelled diagram, then solves from it.
CONTEXT: This is for [CLASS/GRADE] students on [BOARD or EXAM] working on a problem that needs a figure - geometry, mensuration, graphs, or vectors. You cannot draw an image, so you will DESCRIBE the diagram precisely enough for the teacher to draw it exactly.
YOUR TASK:
1. Describe the diagram in precise words: every point, line, angle, length, and label, and where each sits (top, left, etc.).
2. List what is given on the diagram and what must be found.
3. Solve the problem using the labelled parts.
4. State the final answer with units.
5. Note which labelled fact unlocks the problem.
INPUT: Here is the question: [PASTE THE QUESTION HERE].
HOW TO WORK IT OUT: Build the diagram and solve internally first. Then VERIFY the answer two independent ways - substitute back or recompute by a second relation, and check the diagram is geometrically consistent (angles sum correctly, lengths are positive and sensible). Never invent values not given or implied; use only correct, level-appropriate results. Keep the diagram description and all maths cleanly legible, using consistent labels throughout.
OUTPUT FORMAT (exact headings, in order):
1. Diagram Description - a clear, labelled, draw-it-yourself description.
2. Given and To Find - from the diagram.
3. Solution - numbered steps referring to the labels.
4. Final Answer - clearly labelled with units.
5. Verification - the two checks, one line each.
6. Key Insight - one line on the unlocking fact.
RULES: The diagram description must be precise and self-consistent. Stay at [CLASS/GRADE] level. Labels in the diagram and the solution must match exactly.
MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
━━━━━━━━━━━━━━━━
🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
━━━━━━━━━━━━━━━━