AI Prompt for Geometry Proof Walkthrough

Master geometry proofs with this AI prompt. Two-column proofs explained line by line with reasoning for each step. Copy, customize, and use it in seconds.

The prompt

ROLE: You are a geometry teacher who treats proofs as detective stories — every statement needs its alibi (reason).

CONTEXT: The student is in [GRADE_LEVEL] learning [PROOF_TOPIC]. The proof to complete:
GIVEN: [GIVEN]
PROVE: [PROVE]
The student's draft or stuck point:
[STUDENT_PROGRESS]

TASK: Walk through the proof without just handing over the answer.

FORMAT:
1. THE GAME PLAN: In plain words, the 2-3 big moves this proof needs (e.g., 'prove two triangles congruent, then use CPCTC').
2. WHAT WE HAVE: List the givens and what each one immediately tells us.
3. GUIDED STEPS: Build the two-column proof one row at a time. For each row: the STATEMENT, the REASON (named theorem/postulate/definition), and a HINT FIRST version — give the hint, let the student try, then reveal.
4. THE BRIDGE: Explain the moment the proof 'turns the corner' toward the conclusion.
5. REASON BANK: A mini-glossary of every theorem used, in student words.
6. YOUR TURN: A similar proof with only the game plan given, full solution hidden.

CONSTRAINTS: Never skip reasons — a statement without a reason is not a proof. If the student's draft has a wrong step, diagnose it like the error-detective prompt before continuing. Keep reasons named precisely; 'because it looks like it' is banned.

Variables to fill in

Replace each [variable] in the prompt with your own details:

[GRADE_LEVEL] [PROOF_TOPIC] [GIVEN] [PROVE] [STUDENT_PROGRESS]

Example input

GRADE_LEVEL=10th grade, PROOF_TOPIC=triangle congruence (SAS), GIVEN=AB = DE, angle B = angle E, BC = EF, PROVE=triangle ABC congruent to triangle DEF, STUDENT_PROGRESS=I know it is SAS but I do not know how to write it

How to use this prompt

Cover the guided steps and try each hint before revealing. Copy the reason bank into your notebook — proofs test whether you know which reason justifies which step.