WeSolve+ turns theorem-dense chapters and photographed figures into that practice, and this guide covers conditions, figure checklists and proof moves.
WeSolve+ reads the whole document and writes the questions for you
Upload your PDF, photograph your notebook, or point the camera. WeSolve+ writes questions from that material, explains why each answer is right, reads the chapter back to you as a podcast, and remembers every item you missed until you own it.
The tool below is a small browser-only tool and it is not WeSolve+: paste a few lines and text rules turn them into cards on the spot. The real app, the one that uses AI, is behind the link above.
Paste geometry notes, get cards
This is a browser-only tool, and that is all it isIt splits the text you paste by rule, and nothing else. WeSolve+ is a different thing entirely: it reads your whole PDF with AI, writes the reasoning behind every question, speaks the chapter back to you, and remembers what you missed so it can return it. Try the real app now, free!
This browser tool uses text rules, not AI: definition lines become cards, others become fill in the blank. The app reads whole chapter PDFs and photographed figures, and its cards carry reasoning.
Theorem cards: statement plus the condition that licenses it
Every geometry theorem carries a domain: Pythagoras needs the right angle, the inscribed angle relation needs both angles on the same arc, thirty sixty ninety ratios need exactly those angles. Card the theorem with its condition on the same face, front asks when legs squared sum to hypotenuse squared, back says in right triangles only, because exams manufacture wrong answers from theorems applied one step outside their domain. The physics validity card and the calculus hypotheses card are the same instinct; geometry simply has the most theorems per chapter.
Figure property checklists: what a shape guarantees
What does a rhombus guarantee that a parallelogram does not? Equal sides and perpendicular diagonals. Property cards per figure, and difference cards between neighboring figures, rhombus against square, rectangle against parallelogram, mirror how coordinate proofs and always-sometimes-never questions actually probe. The quadrilateral hierarchy rewards the same contrast treatment lookalike terms got in psychology: the difference is the tested content.
Formulas with units, and the dimension check
Area formulas card with square units attached, volume with cubic, and the habit pays twice: once in immediate marks, once as a self check, an answer in plain centimetres cannot be an area. Card the formula anatomy too, why does the trapezoid formula average the parallel sides, because anatomy backs survive the panic that erases bare formulas. The easiest marks lesson from physics units transfers to geometry intact.
Diagrams: photograph, then card the relations
Geometry lives in figures the way anatomy does, and photographed diagrams carry the same honest split: labeled parts convert cleanly, while the relation you care about, which angles subtend the same arc, needs one written sentence. A photographed circle theorem figure plus three relation cards beats redrawing it every review, and marked diagrams from your own problem sets make the best fronts because they carry the exam's visual dialect.
The proof layer: card the moves, not the proofs
Full proofs on cards rot exactly like solved problems everywhere else. Card the proof toolbox instead: what does establishing similarity buy you, proportional sides; what are the three roads to congruence, and which fails, side side angle; what does a midsegment license. Proof questions are assembled from these moves, and a student with the move cards drilled reads a two column proof as a sequence of familiar purchases rather than a wall.
Where this sits in WeSolve+
Chapter PDFs and photographed figures become decks through the pipeline, misses feed weak topic analysis, and the schedule keeps the theorem conditions warm through the year. Exam bound students pair the deck with SAT practice, where geometry supplies a steady share of the math section. Siblings: algebra underneath, physics for the shared units habit, and the index.
Sources used on this page
- Geometry
- Pythagorean theorem
- Inscribed angle
- Rhombus
- Parallelogram
- Quadrilateral
- Trapezoid
- Similarity (geometry)
- Congruence (geometry)
- Special right triangle
- Tangent lines to circles
- Midsegment
- Area
- Volume
- Mathematical proof
- Dimensional analysis
- Flashcard
- Spaced repetition
- Testing effect
- Active recall
- Forgetting curve
- Leitner system
- Desirable difficulty
- Distributed practice
- Metacognition
- Study skills
- Retrieval-induced forgetting
- Long-term memory
| Pattern | Front | Back |
|---|---|---|
| Theorem plus condition | Legs squared sum to hypotenuse squared when? | Right triangles only |
| Figure checklist | Rhombus guarantees beyond parallelogram? | Equal sides, perpendicular diagonals |
| Formula with units | Trapezoid area? | Half the parallel sum times height, square units |
| Relation on figure | Inscribed vs central on one arc? | Inscribed is half |
| Proof move | Similarity buys you? | Proportional sides |
| Failed road | Which congruence shortcut fails? | Side side angle |
What should geometry flashcards cover?
Theorems bound to their conditions, figure property checklists with difference cards, formulas with units and anatomy, and the proof move toolbox.
Why put the condition on the theorem card?
Exams manufacture wrong answers from theorems applied outside their domain: the right angle, the same arc, the exact angle set are the tested content.
How do figure properties card best?
As guarantees and differences: what a rhombus promises that a parallelogram does not. Always-sometimes-never questions probe exactly this.
Should proofs go on cards?
The moves, not the proofs: what similarity buys, the three roads to congruence and the one that fails, what a midsegment licenses.
How do diagrams become cards?
Photograph the figure: labels convert cleanly, and each relation gets one written sentence. Your own marked problem set figures make the best fronts.
Does this connect to SAT prep?
Yes: geometry supplies a steady share of SAT math, and the SAT page pairs with a deck built from your own materials.
Last updated: 2026-08-15