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Mathematics

Geometry Study Guide

Euclidean geometry — points, lines, triangles, circles, proofs, and analytic geometry.

Core topics in Geometry

  • Lines and Angles
  • Triangles
  • Quadrilaterals
  • Circles
  • Proofs
  • Coordinate Geometry
  • Solid Geometry
  • Trigonometric Foundations

Why students struggle

Geometry's two-column proofs are most students' first exposure to formal proof. Without explicit practice, they intuit answers but can't justify them — and that's exactly what proofs require.

How Fennie helps

Fennie drills proof-writing as a separate skill, with hidden-step exercises that train you to justify before you conclude.

How to study Geometry

  1. 01Practice proofs daily — they're a different skill from computation
  2. 02Memorize core theorems (congruence, similarity, circle theorems)
  3. 03Use Fennie for proof-completion exercises
  4. 04Draw every problem before solving

Frequently asked questions

Why do proofs feel so hard?

Because they require justification, not just answers. Students who intuit answers without proving struggle.

Is geometry on the SAT?

Yes — roughly 15% of math. Solid coordinate geometry helps here.

Does Fennie generate proof problems?

Yes — including proof-completion where you fill missing justifications.

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