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Geometry

Shape and Angle

Proof-based plane geometry: angles, parallel lines, congruent and similar triangles, right-triangle trigonometry, polygons, circles, area, volume and transformations.

10 topics · 96 lessons about 44 hoursBefore this: Algebra 1

What you'll be able to do

  • Write two-column and paragraph proofs
  • Prove triangles congruent or similar and use the consequences
  • Apply the circle theorems
  • Compute areas and volumes of standard figures

Start the course

Go through each topic step by step — prose, worked examples, quick checks, and a timed practice round after every section.

Every test ends with a score by topic and a list of what to revisit. Test out of a topic with 80% or better to mark it mastered.

Topics

1.

Core Ideas in Plain Terms

5 lessons

Shapes and reasoning, in everyday language

2.

Transformations

10 lessons

Slides, flips, turns, and resizes on the coordinate plane

3.

Points, Lines & Planes

8 lessons

Foundations: undefined terms, segments, midpoints & distance

4.

Angles

9 lessons

Naming, classifying, and solving for angle measures

5.

Parallel & Perpendicular Lines

10 lessons

Everything you need to name angles, find them, and work with slopes

6.

Triangles & Congruence

10 lessons

Classifying, angle rules, congruence shortcuts, and a first proof

7.

Similarity

10 lessons

Ratios, similar polygons & triangles, indirect measurement, midsegments & scaling

8.

Right Triangles & Trig

11 lessons

Pythagoras, special triangles, SOH-CAH-TOA, and angles of elevation

9.

Quadrilaterals & Polygons

10 lessons

Vocabulary, angle formulas, special quadrilaterals, and the family tree

10.

Circles

10 lessons

Parts, circumference, area, angles, tangents, chords, and equations

11.

Area & Volume

8 lessons

Flat shapes, solid shapes, and the formulas that measure them

12.

Course Review

10 lessons

Every key definition, theorem, and formula from all ten units