Geometry.
See it first.
Then solve it.
Live one-to-one lessons. A clear diagram reveals a path through difficult problems. Build spatial thinking and explain proofs in your own words.
Drag vertex C
S = ½ × a × h16 cm²
The base stays at 8 cm. Adjust the height and watch the area change.
The diagram becomes
part of the solution
Strengthen the foundations or go deeper. Choose a topic to explore what we will study.
Combine this course with mathematics and dedicate separate lessons to geometry.
Shapes, properties and relationships
See what the conditions tell you and which properties can help.
- Triangles
Congruence, similarity, angles, altitudes, medians and angle bisectors.
- Circles
Angles, chords, tangents and connections with other shapes.
- Quadrilaterals
Properties of parallelograms, trapezoids, rectangles and rhombuses.
- Proofs
Build a sequence of arguments and explain the conclusion.
Recognize useful properties in diagrams and justify solutions step by step.
An extra line reveals the solution
From a careful sketch to a meaningful auxiliary construction.
- Compass and ruler
Master basic constructions.
- Freehand diagrams
Keep relationships clear, label data and mark relevant elements.
- Auxiliary lines
Understand when to draw an altitude, a diagonal or extend a side.
- Checking the drawing
Notice when a picture can be misleading.
Build clear diagrams and use them to find a solution.
See space on a sheet of paper
Move from a flat drawing to a three-dimensional model.
- Polyhedra and solids of revolution
Study their elements and relative positions.
- Cross-sections
Construct sections from the conditions and check their shape.
- Angles and distances
Explore lines and planes in space.
- Volumes and areas
Choose formulas and connect them to the solid’s geometry.
Read spatial diagrams with greater confidence and solve problems about solids.
From a drawing to a complete justification
Work through geometry questions from both exams, including the second part.
- Analyzing the conditions
Collect known data and define what must be found or proved.
- Choosing an idea
Try properties, constructions and alternative solution paths.
- Presentation
Write proofs and calculations in a clear sequence.
- Independent practice
Review mistakes and revisit difficult problem types.
Solve geometry problems using thoughtful diagrams and clear reasoning.
A good diagram —
half the solution.
A misleading scale, a missing altitude or angles judged by eye can obstruct a solution. The teacher explains each construction and teaches diagrams that support thinking.
01Read the conditions02Draw a diagram03Justify each step04Change the problemCollect the data and identify explicitly given relationships.
Draw the shape, label its elements and add a useful line.
Explain why a property or formula applies.
Check understanding with another diagram and consolidate the topic at home.
A report after every lesson
What was covered, how your child worked, the homework and the tutor’s advice. Short by email, more detail in Telegram, in full with progress in your account and the Axioma app.
- Telegram
- Axioma app
- Browser notification
- Personal account
- VKsoon
- WhatsAppsoon
Behind every program —
a dedicated teacher
Meet our team. Each profile covers education, experience and specialisms. We match the teacher to the student’s goals.

Maxim Shabunin
Teacher and course author — MGIMO Junior
Education and experience
Margarita Obukhova
OGE examiner — mathematics and computer science
Education and experience
Sabrina Ergeshova
3 years of tutoring — mathematics, grades 5–11
Education and experience
Angelina Magerramova
5 years of tutoring — mathematics, grades 5–9
Education and experienceFirst, your format.
Then, your exact price.
Choose the grade, lesson length and individual or small-group format. Compare single lessons, monthly plans and lesson packs.
What if geometry feels impossible?
Yes, the course can help. We start visually with simple diagrams and introduce formal proofs gradually.
Do I need to know how to draw?
No. Careful constructions and reading diagrams are taught in class.
Can I combine it with mathematics?
Yes. We coordinate the plan so the main program and separate geometry practice complement each other.
Will there be homework?
Yes. Mistakes and every unclear step are reviewed in the next lesson.
A little more
curiosity
Let’s start with
what interests you.
Tell us about the student and their goals. We will help choose a program and teacher.
Find a program