Overview

Explore a comprehensive 10-hour geometry course covering a wide range of topics from basic concepts to advanced theorems. Master fundamental principles such as points, lines, and planes before progressing to more complex subjects like triangle congruence, circle properties, and three-dimensional shapes. Learn to solve problems involving area, volume, and surface area for various geometric figures, including polygons, prisms, cylinders, cones, and spheres. Develop skills in geometric proofs, trigonometry, and coordinate geometry. Practice with special right triangles, the Pythagorean theorem, and its applications. Understand concepts like rotations, reflections, and transformations in geometry. Gain proficiency in using formulas for midpoint, distance, and various geometric calculations. Enhance your problem-solving abilities with real-world applications of geometric principles, including angle of elevation and depression problems. Benefit from a mix of conceptual explanations and practical examples to improve your understanding and performance in geometry.

Syllabus

Area of a Segment in a Circle 2 Methods.
Find Equation of Line Perpendicular to a Line Through a Given Point.
Find Area of Regular Polygon Given Apothem.
Special Right Triangles 30-60-90 & 45-45-90 (3 Easy Methods Explained).
Find the Equation of a Circle Given Endpoints of Diameter.
How to Find Circumcenter Given 3 Vertices (Algebraically).
Cone Lateral Area, Surface Area and Volume.
Pyramid Lateral Area, Surface Area and Volume.
Prism Lateral Area, Surface Area and Volume.
Cylinder Lateral Area, Surface Area and Volume.
How to Find Orthocenter Given 3 Vertices (Algebraically).
Interior and Exterior Angles of Polygons (Formulas).
Lateral Area and Surface Area of Cones, Pyramids, Cylinders & Prisms.
Find the Area of a Regular Polygon Given Apothem, Side, Perimeter, or Radius (4 Examples).
Incenter, Circumcenter, Centroid, Orthocenter (Properties & Diagrams).
Rotations (Easier Method) 90 180 270.
Reflect a Point Over a Line (Algebraically).
2 Column Proof ASA Triangle Congruence.
2 Column Triangle Congruence Proof AAS.
2 Column Triangle Proof SAS.
Rotation about a Point with Protractor.
Geometry Lesson 1 - Points, Lines, and Planes.
Triangle Inequality Theorem Possible Values of x.
Find Areas of Similar Figures Given Perimeters.
Find Area of Regular Polygon Given Side Length.
Find the Area of Regular Polygon Given Radius.
Pythagorean Theorem.
30 60 90 and 45 45 90 Special Right Triangles (Proportion Method).
Centroid (One Third Two Thirds) Examples.
Biconditional Statement How to Write.
Is a Triangle Right, Acute, or Obtuse Given Sides? (Pythagorean Converse).
Write the Equation of a Circle in Standard Form Given Center & Radius.
Geometric Probability.
Geometry Final Exam Review.
Hinge Theorem (Geometry).
Rationalize the Denominator with Radicals (Monomials & Binomials).
Interior Angle in a Polygon How to Find (Formula).
Hemisphere Surface Area (Formula).
Geometry Midterm Exam Giant Review.
Volume of an Oblique Prism - How to Find (Formula).
Perpendicular Bisector Finding the Equation.
Polygons Finding Number of Sides.
Surface Area and Volume Review (Geometry).
Finding an Exterior Angle in a Polygon.
Angle Bisector Theorem.
Angle of Elevation and Depression Problems.
Triangle Proportionality Theorem.
How to Find Scale Factor with Similar Figures.
Find Possible Lengths of Third Side in a Triangle.
Triangle Inequality Solve for x.
Properties of Proportions.
Indirect Proof Example.
Midsegment Theorem Triangles (Geometry).
Triangle Congruence Statement - How to Write (Geometry).
CPCTC Congruent Triangles Geometry Proof.
Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior Angles.
Congruent Supplements Theorem Using in a Beginning Geometry Proof.
Beginning Geometry Proof Using Transitive Property.
Beginning Geometry Proof Using Segment Addition Postulate.
Finding Endpoint Given Midpoint.
How to Identify and Calculate Rotational Symmetry.
Composition of Reflections over 2 Intersecting Lines.
Composition of Reflections over 2 Parallel Lines.
What are Adjacent Angles?.
Opposite Rays - What are They?.
Similar Solids Find Volume Given Surface Area.
Locus in Space Examples.
Euler's Theorem.
Area of a Sector of a Circle (Using Proportions).
Finding Arc Length Using Proportions.
Trapezoid Area Formula with Examples.
Finding Area of Kites and Rhombus.
Ambiguous Case Law of Sines.
Area of a Segment in a Circle.
Properties of Quadrilaterals (Tree Diagram).
Parallel Lines Cut by a Transversal - Finding Angle Measures.
Converse, Inverse, Contrapositive, Biconditional Statements.
Law of Detachment and Syllogism.
Segment Length Formulas in Circles (Secants, Chords, Tangents).
Circles, Angle Measures, Inscribed Angles, Intersecting Chords, Secants & Tangents.
Sphere Surface Area and Volume.
Volume of a Cone and Pyramid - How to Find (Formula).
Surface Area of Cones and Pyramids.
Volumes of Prisms and Cylinders (Formula & Examples).
Surface Area of Prisms and Cylinders.
Finding Interior and Exterior Angles in a Polygon.
Pythagorean Inequality Theorem - Obtuse, Acute or Right?.
Converse of the Pythagorean Theorem.
Pythagorean Triples.
Midpoint Formula.
Distance Formula - How to Use.
Trigonometry: How to Solve Right Triangles.
Inverse Trig Ratios Solving for Angles.
SOH CAH TOA (Trigonometry).
Radicals Simplifying.
Constructing a Parallel Line through a Point (Geometry).
Constructing Perpendicular from Point to Line (Geometry).
Constructions How to Copy An Angle.
How to Use a Compass.
Angle Bisector How to Construct Using Compass (Geometry).
Constructions Perpendicular Bisector (Geometry).
Leg Geometric Mean Theorem.
Altitude Geometric Mean Theorem.
30-60-90 Special Right Triangles.
45-45-90 Special Right Triangles.
Point Along a Directed Segment.