MathIsimple

Geometry Learning

Interactive lessons with step-by-step explanations

Topics

Choose a topic to start learning

Beginner

New
Triangles Beginner
Build an intuition for why triangles are rigid shapes, how to classify them by sides/angles, and how classic theorems such as the angle sum emerge.
1 lessons~60 min
  • Triangle stability and side inequalities
  • Perimeter and area formulas (S = ½bh)
  • Isosceles and equilateral triangle signatures

Beginner

Updated
Lines & Angles
Master lines, rays, segments, parallelism, perpendicularity, and the full catalog of angles you will use across all geometry topics.
1 lessons~45 min
  • Differentiate lines, rays, and segments in proofs
  • Analyze perpendicular and parallel relationships
  • Measure and classify angles with precision

Beginner

Quadrilaterals Beginner
Compare rectangles, squares, parallelograms, and trapezoids with side-angle relationships, diagonals, and composite area reasoning.
1 lessons~45 min
  • Recognize symmetry axes and properties
  • Use diagonals to prove congruence
  • Calculate perimeters and areas for special cases

Beginner

Circle Essentials
Understand radii, chords, tangents, circumference and area computations, and how arcs and sectors link measure with motion.
1 lessons~45 min
  • Interpret radius/diameter relationships
  • Apply C = 2πr and A = πr² formulas
  • Solve annulus and sector problems

Intermediate

Plane Vectors
Blend algebra and geometry by representing vectors with coordinates, mastering operations, and interpreting dot products in context.
1 lessons~60 min
  • Visualize directed segments and magnitude
  • Compute additions, subtractions, and scalar multiples
  • Check collinearity and perpendicularity conditions

Intermediate

Triangle Solving
Move beyond classification to full triangle solving with sine/cosine laws, area techniques, and ambiguous-case reasoning.
3 lessons2–3 hours
  • Apply a/sin(A) = b/sin(B) = c/sin(C)
  • Use cosine law to link all three sides
  • Compare multiple area formulas including Heron's

Intermediate

Trigonometry
Interpret sine, cosine, and tangent graphs, reduction formulas, and identity manipulations that power advanced geometry.
6 lessons4–6 hours
  • Understand amplitude, period, and phase shifts
  • Use reduction formulas for any angle
  • Master sum/difference and double-angle identities

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