Practical guide
Geometry becomes manageable when the picture, words, definitions, relationships, and algebra tell the same story. Mark only what is given, redraw the figure, state what must be found or proved, choose a theorem from its conditions, justify each step, check the result against the diagram and units, then retrieve the reasoning again without the worked solution.
Available on iPhone · Photo problems, worked reasoning, five calculator groups, quizzes, flashcards, and references
What to look for
A figure may not be drawn to scale, and visual resemblance is not a proof. Separate givens, construction marks, definitions, derived facts, and the final claim before choosing a formula or theorem.
Copy the figure large enough to work with. Mark only the lengths, angles, parallel or perpendicular lines, congruence, coordinates, and units that are stated or legitimately derived—not what the picture merely seems to show.
For every theorem or formula, name the conditions that make it usable. Track whether you are using a definition, a given fact, a previously proved result, or a converse that requires its own justification.
Translate the same relationship among a diagram, words, symbols, coordinates, transformations, or a physical model. Use the representation that exposes the structure, then explain how it maps back to the original figure.
Hide the solution and reconstruct the diagram, theorem choice, algebra, proof reasons, and final interpretation from a blank page. Later mix it with nearby problem types so the drawing alone does not reveal the method.
Step by step
Keep the full prompt, diagram, labels, construction marks, answer instructions, coordinate axes, units, and any statement about scale visible. If the figure spans pages, preserve their order and context.
Write what is given and what must be found or proved, then annotate a clean redraw. Do not infer equal lengths, right angles, tangency, parallel lines, symmetry, or scale unless the prompt, marks, definitions, or earlier reasoning establish them.
Ask which definitions, postulates, transformations, congruence or similarity criteria, coordinate relationships, circle theorems, or trigonometric ratios connect the givens to the target. State why each condition is satisfied.
Keep exact values as long as practical, include units, and attach a reason to each proof statement or algebraic move. Distinguish an example from a proof and a theorem from its converse; round only when the problem requests an approximation.
Estimate the expected size, test a special case, substitute the result, compare with angle or length constraints, confirm square or cubic units, or solve through coordinates, transformations, or a second theorem when possible.
Rebuild the solution without notes, explain it aloud, or answer a short proof prompt. Return after a delay and mix triangles, circles, coordinates, solids, and trigonometry so you must identify the structure instead of repeating one template.
Inside the app
These are actual Geometry AI screens using fictional DEBUG-only showcase data. The app can organize detected givens, a possible method, formulas, numbered reasoning, calculations, quizzes, flashcards, and references. AI can still miss a construction mark, assume a figure is to scale, choose the wrong theorem, or generate a proof step that does not follow.
Try the app
Geometry AI can analyze a selected problem and diagram, organize possible reasoning, provide follow-up explanations, and connect it to focused calculators and study tools. Rebuild the argument yourself and verify important labels, assumptions, theorem conditions, proof steps, units, calculations, and conclusions with the original prompt and course material.
Geometry and learning references
These mathematics-education and learning-science sources support the study method and limits on this page. They do not endorse Geometry AI.
Direct answers
Redraw the figure, label only the stated or justified facts, write the target, connect definitions and theorems by their conditions, justify each step, check the result with another representation or estimate, then reconstruct the reasoning without notes and revisit it after a delay.
Recall the formulas and theorems required by your course, but attach each one to a diagram, its conditions, a short explanation, an exact example, and a non-example. Knowing a statement without knowing when or why it applies is not enough for a proof or unfamiliar problem.
Build a mixed set from the actual syllabus, hide topic labels, and first identify the givens, target, and useful relationships. Keep an error log for diagram assumptions, theorem conditions, converses, algebra, units, rounding, and proof reasons, then revisit those errors across multiple sessions.
No unless the problem explicitly says so. Visual appearance alone does not establish equal lengths, angle measures, parallel or perpendicular lines, tangency, symmetry, or a particular proportion. Use the text, marks, definitions, constructions, or justified earlier steps.
Start from the givens and definitions, state the exact claim, and build a chain in which every statement has a reason. Practise finding missing reasons, rewriting invalid steps, proving a result in more than one way, and checking whether you accidentally used the converse of a theorem.
No. AI can misread a label or diagram, invent an assumption, choose an unsuitable theorem, confuse a theorem with its converse, or produce a plausible but invalid proof. Use it to inspect one possible path or create practice, then verify important work independently.
The current release stores saved problems and study data on the device and may sync them through your private Apple iCloud account when available. Content needed for scanning, tutoring, quiz generation, or AI-assisted flashcards is sent through AIProxy to Anthropic for processing. Do not submit sensitive personal data.