{"id":"study-geometry-theorem-if-then-cards","audience":"high-school","category":"studying","technique":"format","track":"study","title":"Turn geometry theorems into if-then cards","free":false,"task":"Your Geometry proof test needs theorems stated exactly. Make exactly 5 numbered cards, each one line in the form 'Name: If ..., then ...', each under 25 words, plain text. Use only theorems from Mr. Kaur's notes, include the 2 he starred, and keep the converse he warned about in the right direction.","materialLabel":"Your geometry notes (attached to your prompt automatically)","material":"GEOMETRY - Mr. Kaur - Unit 3: Parallel lines and triangles\n\nTHEOREMS (we write every theorem as if-then!)\n- Vertical Angles Theorem: If two angles are vertical angles, then they are congruent.\n- Corresponding Angles Postulate: If two parallel lines are cut by a transversal, then corresponding angles are congruent. *\n- Alternate Interior Angles Theorem: If two parallel lines are cut by a transversal, then alternate interior angles are congruent.\n- Converse of Alternate Interior Angles: If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel. *\n   Mr. K: \"Students flip this every year. The converse PROVES lines are parallel. Don't mix up which part is the 'if'.\"\n- Triangle Sum Theorem: If a figure is a triangle, then its interior angles add up to 180°.\n- Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite them are congruent.\n\n* = on the proof test for sure\n\nNot this unit: Pythagorean Theorem, similar triangles.\n\nProof test Thursday. Bring a protractor and compass.","rules":[{"type":"numberedItems","count":5},{"type":"maxWords","max":130},{"type":"plainText"}],"mistakes":[{"title":"Not saying how many cards","why":"The AI picks its own number, and it usually picks more cards than you need.","fix":"Be exact: \"Exactly 5 numbered cards.\"","checks":["numberedItems"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting. Ask for a total and it often lands 20% over.","fix":"Cap each card: \"each card under 22 words.\"","checks":["maxWords"]},{"title":"Not showing the card shape","why":"The AI writes theorems in its own words with explanations, not the if-then form your test grades.","fix":"Show one: \"Vertical Angles: If two angles are vertical, then they are congruent.\"","checks":["r0","plainText"]},{"title":"Flipping the converse","why":"Your teacher warned that the converse is easy to reverse, and the AI can reverse it too.","fix":"Add: \"For the converse, the 'if' is that the angles are congruent.\"","checks":["r1"]},{"title":"Letting in other theorems","why":"The AI adds famous theorems like Pythagoras that aren't in this unit.","fix":"Add: \"Only theorems from my notes.\"","checks":["r2"]}],"promptHints":[{"label":"Says how many cards","patterns":["\\b(5|five)\\b.{0,25}card"]},{"label":"Asks for if-then form","patterns":["if.{0,10}then","if-then"]},{"label":"Mentions the starred ones","patterns":["star","corresponding","converse"]},{"label":"Watches the converse","patterns":["converse","direction","flip"]},{"label":"Says to use only the material","patterns":["only.{0,30}(notes|material|source|excerpt|text|reading|passage|draft|facts|article|handout|sheet|guide|chapter|data|list)","no outside","don't add","do not add","don't invent","theorems"]}],"hint":"Proof tests grade exact if-then wording. Show the AI the card shape, name the theorems that must be in, and warn it about the converse.","rubricLabels":["Includes the 2 starred theorems (Corresponding Angles Postulate and Converse of Alternate Interior Angles), and every card is one line in the form 'Name: If ..., then ...'","The converse card has the right direction: if alternate interior angles are congruent, then the lines are parallel","Uses only theorems from the notes (no Pythagorean Theorem or similar triangles) and adds no proofs, diagrams or explanations"]}