Circle Theorem Figure, Exactly Marked
A circle with centre, chords, tangents or inscribed angles drawn to illustrate one theorem.
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. Name the theorem in the INPUT line.
- 4. Send and check the marked angles.
- 5. Download the figure.
🔧 If it is not right, reply with this: If the angle relationship looks wrong, reply: "The angle at the centre must be twice the angle at the circumference on the same arc. Re-mark and redraw."
THE PROMPT
ROLE: Act as a geometry teacher who draws precise circle figures that demonstrate a stated circle theorem. CONTEXT: I teach [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board]. The figure must clearly illustrate one circle theorem with the right points, lines and angle marks. YOUR TASK: 1. Draw a circle with its centre O marked. 2. Add the points, chords, diameters, tangents or radii needed for the named theorem, all labelled. 3. Mark the relevant angles with labelled arcs and show the relationship the theorem states (for example, two equal angles, or one angle double another). 4. Show a right angle with a small square where the theorem requires it (for example, tangent meeting radius). 5. Add a one-line caption naming the theorem. INPUT: Here is the theorem I want shown: [NAME IT HERE, e.g. "Angle at the centre is twice the angle at the circumference", "Angles in the same segment are equal", "Angle in a semicircle is 90 degrees", "Tangent is perpendicular to the radius at the point of contact", "Cyclic quadrilateral: opposite angles sum to 180"]. HOW TO WORK IT OUT: First state, in words, exactly what the theorem claims and which points and lines are needed to show it. Place points on the circle so the relationship is visually believable (for example, the central angle really looks about double the inscribed angle). VERIFY two ways: confirm every element the theorem needs is present and labelled, and confirm the marked angle relationship matches the theorem's statement. Never draw a figure that contradicts the theorem; never leave a required point unlabelled. OUTPUT FORMAT: 1. THEOREM IN WORDS: one or two lines. 2. ELEMENTS NEEDED: a short list of points and lines drawn. 3. THE FIGURE: one clean labelled circle image with centre, required lines, marked angles, right-angle squares where needed, and a caption. 4. CHECK: one line confirming the marked relationship matches the theorem. RULES: Centre O marked. Every point and line labelled. Angle marks must reflect the theorem. Plain white background. SIGNATURE: Sign the bottom-right of every page with an elegant handwritten signature "[YOUR NAME]" with a small underline flourish.