AI Math Problem Solver for Geometry

The solver covers Euclidean geometry (points, lines, angles, triangles, quadrilaterals, circles, congruence, similarity), coordinate geometry (distance, midpoint, slope, equations of lines and circles, coordinate proofs), transformational geometry (reflections, rotations, translations, dilations), solid geometry (surface area and volume of prisms, pyramids, cylinders, cones, spheres), and right triangle trigonometry (sine, cosine, tangent, special triangles, law of sines and cosines).

The output is plain text, so you can set out two-column proofs with the statement first and the justification beside it. Justifications cite theorem names (SSS Congruence, Alternate Interior Angles Theorem), postulates (Segment Addition Postulate), and definitions (definition of perpendicular bisector) explicitly by name. Paragraph proofs use the same logical structure in connected prose. Teachers can name the format they want in the problem field, based on their current instructional focus.

For construction problems, the solver generates a numbered step-by-step procedure that describes each compass and straightedge operation in precise spatial terms: "Set the compass width to segment AB. Without changing the compass setting, place the compass point at B and draw an arc above AB." The steps describe the operation that would be performed physically rather than providing abstract instructions.

Coordinate geometry proofs use slope, distance, and midpoint formulas to prove geometric properties algebraically. The solver shows each calculation in full: the slope formula applied to specific coordinates, the distance formula with substituted values, and the conclusion drawn from the calculated values. Conclusions explicitly state the geometric property proven (e.g., "Since the slopes are negative reciprocals, AB ⊥ CD").

Yes. For all six congruence and similarity postulates/theorems (SSS, SAS, ASA, AAS, HL for congruence; AA, SSS, SAS for similarity), the solver shows how to identify corresponding parts, verify the conditions for the theorem, and write the congruence or similarity statement in correct notation. The solver also shows how to use congruence and similarity to prove derived angle and side relationships.