Course 02 · Core

Geometry

Proofs, transformations, and spatial reasoning done with rigor.

Overview

What this course covers.

Geometry is where mathematical proof and spatial thinking come together. This course builds logical reasoning skills that carry through every math course that follows.

PrerequisitesAlgebra 1.

Next CourseAlgebra 2 →

Try a sample problem

Test the waters.

No login needed. Solve the problem below to get a feel for what we cover.

Problem

A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?

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Curriculum

Topics & units.

Unit 1

Foundations

›Points, lines, planes & angles
›Parallel lines & transversals
›Angle relationships
›Introduction to proof

Unit 2

Triangles

›Congruence (SSS, SAS, ASA, AAS)
›Triangle inequalities
›Pythagorean theorem & special triangles
›Similar triangles

Unit 3

Polygons & Circles

›Quadrilateral properties
›Area & perimeter of polygons
›Circle theorems
›Arc length & sector area

Unit 4

Transformations & Coordinate Geometry

›Translations, rotations, reflections, dilations
›Coordinate proofs
›Midpoint and distance formulas
›Intro to 3D geometry

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