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Mathematics

Geometry

Points, lines, planes, angles and the proofs that connect them.

  • 11 chapters
  • 53 lessons
  • 53 visual guides
  • 53 videos
  • All free
Start herePoints, Lines, and PlanesFundamentals of Geometry · Locations, infinite lines, flat planes, and point relationships.Start lesson

Chapters

1

Fundamentals of Geometry

The vocabulary and building blocks everything else rests on.

4 lessons

Flashcards Practice test
  1. 1.1Points, Lines, and PlanesLocations, infinite lines, flat planes, and point relationships.VideoVisual guide
  2. 1.2Segments, Rays, and MidpointsEndpoints, segment addition, and equal halves.VideoVisual guide
  3. 1.3Distance and Midpoint on a Coordinate PlaneUse coordinates to measure distance and locate the middle.VideoVisual guide
  4. 1.4Angles and Angle PairsMeasure angles and use relationships between pairs.VideoVisual guide
2

Reasoning and Proof

Conjectures, logic, algebraic reasoning, and geometric proofs.

5 lessons

Flashcards Practice test
  1. 2.1Patterns and ConjecturesUse examples to make and test mathematical claims.VideoVisual guide
  2. 2.2Conditional StatementsRead, rewrite, and evaluate if-then statements.VideoVisual guide
  3. 2.3Properties of Equality and CongruenceJustify each step with a named property.VideoVisual guide
  4. 2.4Algebraic ProofsShow a reason for every equation transformation.VideoVisual guide
  5. 2.5Geometric ProofsBuild short proofs using diagrams, definitions, and theorems.VideoVisual guide
3

Parallel and Perpendicular Lines

Transversals, angle relationships, slope, and related line equations.

5 lessons

Flashcards Practice test
  1. 3.1Lines and TransversalsIdentify angles formed when a transversal crosses lines.VideoVisual guide
  2. 3.2Angle Relationships with Parallel LinesUse parallel-line angle rules to find missing measures.VideoVisual guide
  3. 3.3Proving Lines ParallelApply converse angle tests and explain what follows.VideoVisual guide
  4. 3.4Slopes of LinesCalculate and compare slope from points and graphs.VideoVisual guide
  5. 3.5Equations of Parallel and Perpendicular LinesWrite linear equations with a given point and relationship.VideoVisual guide
4

Transformations and Congruence

Translations, reflections, rotations, symmetry, and triangle congruence.

5 lessons

Flashcards Practice test
  1. 4.1TranslationsSlide figures while preserving distance and angle measure.VideoVisual guide
  2. 4.2ReflectionsReflect points over axes and common lines.VideoVisual guide
  3. 4.3RotationsTurn figures around a center using coordinate rules.VideoVisual guide
  4. 4.4Rigid Motions and SymmetryCombine transformations and recognize symmetry.VideoVisual guide
  5. 4.5Triangle CongruenceUse rigid motions and valid triangle congruence criteria.VideoVisual guide
5

Relationships in Triangles

Triangle angles, inequalities, and bisectors.

5 lessons

Flashcards Practice test
  1. 5.1Triangle Angle SumsLearn and apply triangle angle sums.VideoVisual guide
  2. 5.2Exterior AnglesLearn and apply exterior angles.VideoVisual guide
  3. 5.3Isosceles and Equilateral TrianglesLearn and apply isosceles and equilateral triangles.VideoVisual guide
  4. 5.4Triangle InequalitiesLearn and apply triangle inequalities.VideoVisual guide
  5. 5.5Perpendicular and Angle BisectorsLearn and apply perpendicular and angle bisectors.VideoVisual guide
6

Quadrilaterals and Polygons

Angle sums, quadrilaterals, and polygon classification.

5 lessons

Flashcards Practice test
  1. 6.1Polygon Angle SumsProperties and applications of polygon angle sums.VideoVisual guide
  2. 6.2ParallelogramsProperties and applications of parallelograms.VideoVisual guide
  3. 6.3Rectangles, Rhombi, and SquaresProperties and applications of rectangles, rhombi, and squares.VideoVisual guide
  4. 6.4Trapezoids and KitesProperties and applications of trapezoids and kites.VideoVisual guide
  5. 6.5Classifying QuadrilateralsProperties and applications of classifying quadrilaterals.VideoVisual guide
7

Similarity

Dilations, similar figures, proportional segments, and applications.

5 lessons

Flashcards Practice test
  1. 7.1DilationsUse ratios and corresponding parts in dilations.VideoVisual guide
  2. 7.2Similar PolygonsUse ratios and corresponding parts in similar polygons.VideoVisual guide
  3. 7.3Triangle SimilarityUse ratios and corresponding parts in triangle similarity.VideoVisual guide
  4. 7.4Proportional SegmentsUse ratios and corresponding parts in proportional segments.VideoVisual guide
  5. 7.5Applications of SimilarityUse ratios and corresponding parts in applications of similarity.VideoVisual guide
8

Right Triangles and Trigonometry

Pythagorean theorem, special right triangles, and trigonometric ratios.

5 lessons

Flashcards Practice test
  1. 8.1Pythagorean TheoremRight-triangle methods for pythagorean theorem.VideoVisual guide
  2. 8.2Special Right TrianglesRight-triangle methods for special right triangles.VideoVisual guide
  3. 8.3Sine, Cosine, and TangentRight-triangle methods for sine, cosine, and tangent.VideoVisual guide
  4. 8.4Solving Right TrianglesRight-triangle methods for solving right triangles.VideoVisual guide
  5. 8.5Applications of TrigonometryRight-triangle methods for applications of trigonometry.VideoVisual guide
9

Circles

Circle angles, arcs, chords, tangents, and sectors.

5 lessons

Flashcards Practice test
  1. 9.1Circle Parts and Angle MeasuresUnderstand circle parts and angle measures.VideoVisual guide
  2. 9.2Arcs and ChordsUnderstand arcs and chords.VideoVisual guide
  3. 9.3Inscribed AnglesUnderstand inscribed angles.VideoVisual guide
  4. 9.4Tangents and SecantsUnderstand tangents and secants.VideoVisual guide
  5. 9.5Arc Length and Sector AreaUnderstand arc length and sector area.VideoVisual guide
10

Area and Volume

Areas of figures, surface areas, and volumes of solids.

5 lessons

Flashcards Practice test
  1. 10.1Area of PolygonsCalculate and interpret area of polygons.VideoVisual guide
  2. 10.2Area of Composite FiguresCalculate and interpret area of composite figures.VideoVisual guide
  3. 10.3Surface Area of SolidsCalculate and interpret surface area of solids.VideoVisual guide
  4. 10.4Volume of Prisms and CylindersCalculate and interpret volume of prisms and cylinders.VideoVisual guide
  5. 10.5Pyramids, Cones, and SpheresCalculate and interpret pyramids, cones, and spheres.VideoVisual guide
11

Coordinate Geometry and Review

Circle equations, coordinate proofs, transformations, and cumulative review.

4 lessons

Flashcards Practice test
  1. 11.1Equations of CirclesApply prior geometry ideas in equations of circles.VideoVisual guide
  2. 11.2Coordinate ProofsApply prior geometry ideas in coordinate proofs.VideoVisual guide
  3. 11.3Transformations on the Coordinate PlaneApply prior geometry ideas in transformations on the coordinate plane.VideoVisual guide
  4. 11.4Modeling and Cumulative ProblemsApply prior geometry ideas in modeling and cumulative problems.VideoVisual guide