geometric proof
Formal figure reasoning
A geometric proof is a logical argument demonstrating that a mathematical statement about shapes, angles, or spatial relationships must be true.
Traditional proofs proceed step by step from axioms and previously established theorems, with each step justified by a stated reason.
The two-column geometric proof showed why the triangles were congruent.
The form is a staple of high school geometry courses, where students learn to construct chains of reasoning from given information to conclusion.
- theoremDemonstrated logical conclusion
- axiomSelf-evident starting principle
- postulateAssumed starting point
- QEDProof-concluding abbreviation
- deductionConclusion from premises
logic · Euclid · triangle · congruent · corresponding angles · parallel · compass · straightedge · reasoning · lemma · corollary · angle · bisector · perpendicular · transversal · if then · conclusion · rigor
- proofscontrapositive, contradiction, theorem, lemma, corollary
- geometryangles, circles, angle, shapes, lines
- puzzlespuzzles, sudoku, jigsaw puzzle, puzzle cube, crossword
- logicpremise, premises, conclusion, conclusions, inference
- math graphicsgraph, plot, chart, diagram, bar graph
- Pythagorean theoremhypotenuse, right triangle, legs, formula
geometric proofempirical observation
Facts gathered through senses
inductive reasoning · conjecture · guesswork · gut feeling · rough estimate
geometric proofestimation
Approximate value judgment
approximation · measurement · rough calculation · eyeballing · guesstimate
geometric proofhand-waving
Vague gesturing as explanation
physical model · persuasion · rhetorical argument · appeal to authority · folk wisdom
geometric, proof, geometry, geometrical, geometrically, geometer, proofs, proven, proves