This course on Geometry covers a wide range of topics including basic concepts, angles, triangles, proofs, polygons, similar figures, trigonometry, area and perimeter calculations, circles, 3D shapes, volume, and surface area. The course aims to help learners understand and apply geometric principles, solve problems using various geometric formulas, and improve their reasoning and logical thinking skills. The teaching method includes video lectures and demonstrations. The course is intended for students preparing for standardized tests like SAT, ACT, or EOC exams, as well as anyone interested in enhancing their geometry knowledge and problem-solving abilities.
Overview
Syllabus
Geometry Introduction - Basic Overview - Review For SAT, ACT, EOC, Midterm Final Exam.
Geometry Introduction, Basic Overview - Review For SAT, ACT, EOC, Midterm / Final Exam - Membership.
Introduction to Geometry.
Lines, Rays, Line Segments, Points, Angles, Union & Intersection - Geometry Basic Introduction.
Acute Obtuse Right & Straight Angles - Complementary and Supplementary Angles.
Decimal Degrees to DMS Formula - Converting Degrees Minutes and Seconds to Decimal - Trigonometry.
Clock Aptitude Reasoning Tricks & Problems - Finding Angle Between The Hands of a Clock Given Time.
Angle Bisector Theorem - Midpoints & Line Segments.
Converse, Inverse, & Contrapositive - Conditional & Biconditional Statements, Logic, Geometry.
Probability With Geometry - Length, Area & Volume.
Perpendicular Lines, Slope, Rays, and Segments.
My Patreon Channel.
Complementary and Supplementary Angles.
Addition and Subtraction Property of Equality.
Multiplication and Division Property of Equality.
Transitive Property of Congruence & Substitution Property of Equality.
Triangles.
Parallel and Perpendicular Lines, Transversals, Alternate Interior Angles, Alternate Exterior Angles.
Two Column Proofs of Congruent Segments - Midpoints, Substitution, Division & Addition Property.
Geometry, Two Column Proofs of Angles - Addition, Substitution & Transitive Property.
Triangle Congruence Theorems, Two Column Proofs, SSS, SAS, ASA, AAS Postulates, Geometry Problems.
CPCTC Geometry Proofs Made Easy, Triangle Congruence - SSS, SAS, ASA, & AAS, Two Colmn Proofs.
Median of a Triangle Formula, Example Problems, Properties, Definition, Geometry, Midpoint & Centroi.
Altitude of a Triangle - Finding The Orthocenter.
Two Column Proofs - Triangles, Medians and Altitudes.
Geometry Proofs - Isosceles Triangles - SAS & AAS.
Angle Side / Base-Angle Theorem - Two Column Proofs.
Hypotenuse Leg Theorem - HL Postulate - Two Column Proofs.
Detour Proofs - Double Triangle Congruence.
Midpoint Formula.
Missing Diagrams With Two Column Proofs.
Right Angle Theorem - SSS & AAS - Two Column Proofs.
Perpendicular Bisector of a Line Segment and Triangle.
Altitudes, Medians, Midpoints, Angle & Perpendicular Bisectors.
Finding The Slope Given Two Points - Parallel & Perpendicular Lines - Altitudes & Medians.
Indirect Proofs, Practice Problems, Two Column Proofs - Geometry.
Proving Parallel Lines With Two Column Proofs - Geometry, Practice Problems.
Exterior Angle Theorem For Triangles, Practice Problems - Geometry.
Exterior Angle Inequality Theorem With Two Column Proofs - Geometry.
Polygons.
Quadrilaterals - Geometry.
Parallelograms - Geometry.
Rectangles - Properties of Parallelograms, Special Quadrilaterals - Geometry.
Isosceles Trapezoids.
Rhombus, Basic Introduction - Geometry.
Kites, Basic Introduction, Geometry.
Proving Parallelograms With Two Column Proofs - Geometry.
Proving a Quadrilateral Is a Kite - Two Column Proofs - Geometry.
Two Column Proofs - Proving a Parallelogram Is a Rhombus - Geometry.
Two Column Proofs - Proving Isosceles Trapezoids - Geometry.
Two Column Proofs With Parallelograms, Isosceles Trapezoids, Rhombuses, and Kites - Geometry.
Skew Lines, Perpendicular & Parallel Lines & Planes, Intersecting Lines & Transversals.
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry.
Triangles - Basic Introduction, Geometry.
Number of Diagonals In a Regular Polygon - Geometry.
Ratios and Proportions, Arithmetic & Geometric Mean, Means Extremes Theorem - Geometry Problems.
Similar Triangles.
Similar Triangles and Figures, Enlargement Ratios & Proportions Geometry Word Problems.
Triangle Similarity - AA SSS SAS & AAA Postulates, Proving Similar Triangles, Two Column Proofs.
Triangle Proportionality Theorem, Side Splitter Theorem & Angle Bisector Theorem - Geometry.
Altitude on Hypotenuse Theorem - Geometry Practice Problems.
Pythagorean Theorem.
Distance Formula.
How To Find The Distance Between Two Points.
How To Find The Distance Between 2 Points In 3D Space.
30-60-90 Special Right Triangles For ACT & SAT Math - Geometry & Trigonometry.
45-45-90 Triangles For SAT & ACT Math - Trigonometry & Geometry.
Trigonometric Ratios.
Angle of Elevation and Depression Word Problems Trigonometry, Finding Sides, Angles, Right Triangles.
How To Calculate The Missing Side Length of a Triangle.
How To Calculate The Missing Angle In a Triangle.
How To Solve Two Triangle Trigonometry Problems.
Area of a Rectangle.
Area and Perimeter.
Area of a Square.
Area of a Triangle, Given 3 Sides, Heron's Formula.
How To Calculate The Height of a Triangle Using Heron's Formula.
Area of a Trapezoid.
Area of a Parallelogram.
Area of a Rhombus.
How To Calculate The Area Between Two Squares.
Area of a Rectangle, Triangle, Circle & Sector, Trapezoid, Square, Parallelogram, Rhombus, Geometry.
Area and Perimeter of Irregular Shapes - Tons of Examples!.
How To Calculate Square Footage.
Area of a Kite.
Area of an Equilateral Triangle.
Area of Regular Polygons - Hexagons, Pentagons, & Equilateral Triangles With Inscribed Circles.
Circles In Geometry, Basic Introduction - Circumference, Area, Arc Length, Inscribed Angles & Chords.
Area of Shaded Region - Circles, Rectangles, Triangles, & Squares - Geometry.
Geometry - Area Math Problem.
3D Shapes - Faces, Edges, and Vertices - Euler's Formula - Geometry.
Volume of a Rectangular Prism - Geometry.
Surface Area of a Rectangular Prism - Geometry.
Rectangular Prism - Volume, Surface Area and Diagonal Length, Rectangles, Geometry.
Volume of a Triangular Prism.
Surface Area of a Triangular Prism - Lateral Area, Geometry.
Triangular Prism - Volume, Surface Area, Base and Lateral Area Formula, Basic Geometry.
Surface Area of a Hexagonal Prism - Volume & Lateral Area - Geometry.
Volume of a Cube.
Surface Area of a Cube.
Diagonal Length of a Cube.
Volume of a Pyramid.
Surface Area of a Pyramid - Lateral Area - Geometry.
Surface Area of a Pyramid & Volume of Square Pyramids & Triangular Pyramids.
Volume of a Cylinder.
Surface Area of a Cylinder With Lateral Area.
Volume of a Sphere.
Surface Area of a Sphere.
Volume of a Cone.
Surface Area of a Cone with Lateral Area - geometry.
Circles - Chords, Radius & Diameter - Basic Introduction - Geometry.
Central Angles, Circle Arcs, Angle Measurement, Major Arcs vs Minor Arcs, Chords - Geometry.
Tangent Lines & Secant Lines of Circles, Walk Around Problem - Geometry.
Circles, Angle Measures, Arcs, Central & Inscribed Angles, Tangents, Secants & Chords - Geometry.
Tangent Tangent Angle Theorems - Circles & Arc Measures - Geometry.
Inscribed Polygons and Circumscribed Polygons, Circles - Geometry.
Power Theorems - Chords, Secants & Tangents - Circle Theorems - Geometry.
Circle Theorems.
Two Column Proofs With Circles - Geometry.
Circles - Geometry.
Incenter, Circumcenter, Orthocenter & Centroid of a Triangle - Geometry.
Distance Between a Point and a Line In 2D & 3D - Geometry.
Area of a Triangle With Vertices - Geometry.
Coordinate Geometry, Basic Introduction, Practice Problems.
Geometry Final Exam Review - Study Guide.
SAT Math Test Prep Online Crash Course Algebra & Geometry Study Guide Review, Functions,Youtube.
Circles - Area, Circumference, Radius & Diameter Explained!.
ACT Math Test Prep.
Taught by
The Organic Chemistry Tutor
