An AI geometry tutor you can draw with
TutorAura · Updated
Geometry is visual, so it's hard to learn from text alone. TutorAura's AI geometry tutor works on a whiteboard: you sketch the diagram, mark what you know, and the tutor guides you through the reasoning one step at a time, checking your working as you go.
It helps with the geometry taught from elementary school through high school, including Pythagoras, trigonometry and proofs, and the geometry in the Digital SAT and GCSE/IGCSE Maths.
Key takeaways
- Draw the diagram on the whiteboard and reason through it with the tutor.
- Covers angles, triangles, polygons, circles, area, volume, transformations and trigonometry.
- Helps you write clear reasons and proofs, not just numbers.
- Checks your working and shows where it went wrong.
Example: finding a missing angle
Two parallel lines are crossed by a transversal. One angle is 65°. Find angle , which is on the opposite side of the transversal, between the parallel lines.
- The tutor asks you to sketch the lines and mark the 65° angle.
- "Which pair of angles are these: corresponding, alternate or co-interior?" You identify them as alternate angles.
- Alternate angles are equal, so .
- It checks your written reason, because many tests give marks for the reason as well as the answer.
Example: Pythagoras and trigonometry
A ladder 5 m long leans against a wall with its foot 3 m from the wall. How high up the wall does it reach, and what angle does it make with the ground?
- Sketch the right triangle: the ladder is the hypotenuse (5 m), the ground is 3 m.
- Pythagoras: , so and m.
- Angle with the ground: , so .
The tutor asks you to label the sides relative to the angle first (opposite, adjacent, hypotenuse), which is where most trigonometry mistakes start. See our topic guide on right-triangle trigonometry.
What it covers
| Area | Topics |
|---|---|
| Angles and lines | Angles on a line and around a point, parallel lines, angles in polygons |
| Triangles and polygons | Properties, congruence, similarity, Pythagoras |
| Circles | Circumference and area, arcs and sectors, circle theorems, equations of circles |
| Measurement | Perimeter, area, surface area, volume of prisms, cylinders, cones and spheres |
| Transformations | Reflections, rotations, translations, enlargements |
| Trigonometry | SOH CAH TOA, sine and cosine rules, exact values |
| Proof | Two-column proofs, writing geometric reasons |
Tell the tutor what your course covers; we don't claim full coverage of any curriculum.
Writing proofs
Proofs ask you to explain why something must be true, with a reason for every step. The tutor helps you plan before you write: what do you know, what do you need to show, and which facts connect them? Then it checks each statement has a valid reason ("vertical angles are equal", "angles in a triangle add up to 180°") and asks you to fill any gaps.
Formulas and when to use them
Knowing a formula isn't enough; you need to know which one fits. The tutor asks you to identify the shape and what you're finding before choosing a formula, and it reminds you of units (cm, cm², cm³). For the formulas given on the SAT and the ones to memorise, see SAT Math formulas; for GCSE, see GCSE Maths formulas.
Limits
The tutor works from what you draw and type. If a question depends on a diagram in your textbook, sketch it or describe it carefully, including any lengths and angles. Like any AI it can make mistakes, so check important answers against your notes or with your teacher.
Frequently asked questions
Can I draw diagrams for the tutor?
Yes. Sketch on the whiteboard and label lengths and angles; the tutor reads it and reasons through the problem with you.
Does it help with geometry proofs?
Yes. It helps you plan a proof and checks that every statement has a valid reason.
Does it cover trigonometry?
Yes: SOH CAH TOA, the sine and cosine rules, and exact values.
How much does it cost?
There's a 3-day free trial with no card needed, then $15 a month for every subject.
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