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Geometry Honors Study Guide

7 units with lessons, worked examples, graphs, and practice PDFs.

Units

1

Logic, Axioms, and Proof

What counts as an argument. Geometry is the course where students first have to justify rather than compute, and this unit sets that expectation.

3 lessons · Problems and solutions PDFs →

2

Lines, Angles, and Constructions

Angle relationships that generate equations, and compass constructions that rely on equal radii rather than measurement.

3 lessons · Problems and solutions PDFs →

3

Triangles, Congruence, and Similarity

When two triangles are the same, and when they are the same shape at a different scale. The criteria are the unit, and knowing which do not work matters as much as which do.

3 lessons · Problems and solutions PDFs →

4

Polygons and Quadrilaterals

Angle sums and the family tree of quadrilaterals, where each special case adds one property to the one above it.

3 lessons · Problems and solutions PDFs →

5

Circles and Conic Sections

Circle relationships and the wider family of curves that come from slicing a cone. Completing the square is the recurring technique.

3 lessons · Problems and solutions PDFs →

6

Transformations and Coordinate Geometry

Moving figures without changing them, and the one transformation that does change size. Order matters, which is the main source of error.

3 lessons · Problems and solutions PDFs →

7

Solid Geometry and Geometric Systems

Three-dimensional measurement and a look at how geometry itself is built from axioms. Composite solids are decomposed into parts whose measures add.

3 lessons · Problems and solutions PDFs →

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