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Krista King

) and an additional 12 workbooks with extra practice problems, to help you test your understanding along the way. Become a Geometry Master is organized into the following sections:

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) and an additional 12 workbooks with extra practice problems, to help you test your understanding along the way. Become a Geometry Master is organized into the following sections:

  • Lines and angles, including interior angles of polygons

  • Quadrilaterals, like rectangles, squares, and parallelograms

  • Circles, including arcs, inscribed angles, and chords

  • Area and perimeter for two-dimensional figures

  • Volume and surface area for three-dimensional figures

  • Triangles, including interior angles, bisectors, and circumscribed and inscribed circles

  • Pythagorean theorem and pythagorean inequalities

  • Triangle congruence, including We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

    Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

    Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great. If not, you can review the videos and notes again or ask for help in the Q&A section.

    Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.

    HERE'" - Carolyn L.

  • “Krista is an experienced teacher who offers Udemy students complete subject matter coverage and efficient and effective lessons/learning experiences. She not only understands the course material, but also selects/uses excellent application examples for her students and presents them clearly and skillfully using visual teaching aids/tools.” - John

  • “Really good, thorough, well explained lessons.” - Scott F.

  • “This is my second course (algebra previously) from Ms. King's offerings. I enjoyed this course and learned a lot. Each video explains a concept, followed by the working of several examples. I learned the most by listening to Ms King's teaching of the concept, stopping the video, and then attempting to work the example problems. After working the problems, then watching her complete the examples, I found that I really retained the concepts. A great instructor. ” - Charles M.

YOU'

I can't wait for you to get started on mastering geometry.

- Krista :)

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What's inside

Learning objectives

  • Quadrilaterals, triangles, and circles, including calculations of angles, perimeter, and area
  • Three-dimensional geometry, including prisms, pyramids, cylinders, cones, and spheres
  • Transformations of figures, including translating, rotating, and reflecting
  • Logic and proofs, including conditionals and converses
  • Parallels and polygons, including interior and exterior angles
  • Triangle congruence, including sss, asa, sas, aas, hl, and cpctc, plus the pythagorean theorem
  • Shapes in space, including distance between points in space
  • Dilations and scale factors, including triangle similarity statements

Syllabus

In this Geometry course, learn which theorems to pick, in what order, and how to apply them to ace your homework every time.
What we'll learn in this course
Read more
How to get the most out of this course
Download the formula sheet
The EVERYTHING download
Ease into basic geometry by learning all about points, lines, and line segments.
Introduction to lines
RESOURCE: Quiz solutions for this section
Naming simple geometric figures

Naming simple geometric figures geometry video example.

Length of a line segment

Length of a line segment geometry video example.

Slope and midpoint of a line segment

Slope and midpoint of line segments geometry video example.

Parallel, perpendicular, or neither

Line segments that are parallel, perpendicular or neither geometry video example.

Distance between two points in three dimensions

Distance between points in three dimensions geometry video example.

Midpoint of a line segment in three dimensions

Midpoint of the line segment in three dimensions geometry video example.

BONUS! Extra practice problems. :)
Learn about all different kinds of angles, including basic angles, angles between intersecting lines, and angles inside triangles.
Introduction to angles
Measures of angles

Measures of angles geometry video example.

Adjacent and nonadjacent angles

Adjacent and non-adjacent angles geometry video example.

Angles and transversals

Angles of transversals geometry video example.

Interior angles of polygons

Interior angles of polygons geometry video example.

Exterior angles of polygons

Exterior angles of polygons geometry video example.

Discover how useful the Pythagorean theorem can be when it comes to solving for all aspects of triangles.
Introduction to Pythagorean Theorem
Pythagorean Theorem

Pythagorean theorem geometry video example.

Pythagorean inequalities

Pythagorean inequalities geometry video example.

Explore circles, including basic calculations, arc length, and all about tangent and secant lines of circles.
Introduction to circles
Equation of a circle

Equation, center and radius and intercepts of a circle geometry video example.

Degree measure of an arc

Degree measure of an arc geometry video example.

Arc length

Arc length geometry video example.

Inscribed angles of circles

Inscribed angles of circles geometry video example.

Vertex on, inside, and outside the circle

Vertex on, inside and outside the circle geometry video example.

Tangent lines of circles

Tangent lines of a circle geometry video example.

Intersecting tangents and secants

Intersecting tangents and secants geometry video example.

Intersecting chords

Intersecting chords geometry video example.

Triangles
Introduction to triangles
Interior angles of triangles

Interior angles of triangles geometry video example.

Perpendicular and angle bisectors

Perpendicular and angle bisectors geometry video example.



Circumscribed and inscribed circles of a triangle
Introduce yourself to quadrilaterals, which include squares, rectangles, parallelograms, trapezoids, rhombi, and even kites.
Introduction to quadrilaterals

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Provides a foundation in geometry, ideal for beginners
Covers basic to advanced geometry concepts, making it suitable for students of varying levels
Emphasizes practical applications of geometry, making it relevant to real-world scenarios
Includes interactive quizzes and practice problems, enhancing comprehension and retention
Introduces advanced topics like transformations and proofs, preparing students for higher-level math
Requires students to have a basic understanding of algebra

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Reviews summary

Well-organized fundamentals

Learners say this course offers well-organized lessons that are easy to follow. Highly recommend for strengthening geometry fundamentals.
Helps strengthen geometry fundamentals
"Highly recommend this course to strengthen your fundamentals for course or data science or even GRE etc."
Easy to follow content
"She make it simple and easy."
Well-organized lessons
"Well organized lesson as well."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Become a Geometry Master with these activities:
Organize and review course materials
Ensure a solid understanding by organizing and regularly reviewing course materials.
Browse courses on Geometry
Show steps
  • Create a system for organizing notes, assignments, and quizzes.
  • Regularly review your organized materials to reinforce concepts.
  • Use your organized materials as a resource for studying and problem-solving.
Watch video tutorials on geometry concepts
Reinforce understanding of geometry concepts by watching video tutorials.
Browse courses on Geometry
Show steps
  • Find video tutorials on specific geometry topics.
  • Watch the tutorials and take notes.
  • Complete any practice problems or exercises provided in the tutorials.
Join study groups or practice sessions with other students
Collaborate with peers to enhance understanding and problem-solving skills.
Browse courses on Geometry
Show steps
  • Find study groups or practice sessions online or in person.
  • Participate actively in discussions and problem-solving exercises.
  • Seek clarification from peers on concepts you find challenging.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Solve geometry problems in a timed setting
Solve geometry problems under time pressure to improve problem-solving skills and time management.
Browse courses on Geometry
Show steps
  • Set a timer for 10 minutes.
  • Solve as many geometry problems as possible within the time limit.
  • Check your answers and identify areas for improvement.
Create geometry diagrams using a drawing software or online tool
Enhance spatial reasoning and visualization skills by creating geometry diagrams.
Browse courses on Geometry
Show steps
  • Choose a drawing software or online tool.
  • Create diagrams of various geometry concepts, such as triangles, quadrilaterals, circles.
  • Label the diagrams with appropriate measurements and annotations.
Participate in geometry competitions or online challenges
Challenge yourself and test your geometry skills in a competitive setting.
Browse courses on Geometry
Show steps
  • Find geometry competitions or online challenges that align with your skill level.
  • Practice solving geometry problems to prepare for the competition.
  • Participate in the competition and strive for your best performance.
Create a portfolio of geometry projects
Demonstrate your geometry skills and creativity by creating a portfolio of projects.
Browse courses on Geometry
Show steps
  • Choose a variety of geometry topics to explore.
  • Design and create projects that demonstrate your understanding of these topics.
  • Document your projects and explain the geometry concepts involved.

Career center

Learners who complete Become a Geometry Master will develop knowledge and skills that may be useful to these careers:
Actuary
Actuaries use mathematics to assess risk, an important skill in the insurance industry. This course will help you develop the mathematical skills necessary to succeed as an actuary. You will learn about topics such as probability, statistics, and calculus, which are all essential for actuaries. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Data Analyst
Data analysts use mathematical and statistical techniques to analyze data and extract meaningful insights. This course will help you develop the skills necessary to succeed as a data analyst. You will learn about topics such as data mining, machine learning, and visualization, which are all essential for data analysts. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Financial Analyst
Financial analysts use mathematical and statistical techniques to analyze financial data and make investment recommendations. This course will help you develop the skills necessary to succeed as a financial analyst. You will learn about topics such as financial modeling, valuation, and risk analysis, which are all essential for financial analysts. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Market Researcher
Market researchers use mathematical and statistical techniques to collect and analyze data about consumer behavior. This course will help you develop the skills necessary to succeed as a market researcher. You will learn about topics such as survey design, data analysis, and forecasting, which are all essential for market researchers. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Operations Research Analyst
Operations research analysts use mathematical and statistical techniques to improve the efficiency of organizations. This course will help you develop the skills necessary to succeed as an operations research analyst. You will learn about topics such as linear programming, optimization, and simulation, which are all essential for operations research analysts. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Quantitative Analyst
Quantitative analysts use mathematical and statistical techniques to analyze financial data and make investment recommendations. This course will help you develop the skills necessary to succeed as a quantitative analyst. You will learn about topics such as financial modeling, econometrics, and risk management, which are all essential for quantitative analysts. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Risk Manager
Risk managers use mathematical and statistical techniques to assess and manage risk. This course will help you develop the skills necessary to succeed as a risk manager. You will learn about topics such as risk assessment, risk mitigation, and risk management, which are all essential for risk managers. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Statistician
Statisticians use mathematical and statistical techniques to collect, analyze, and interpret data. This course will help you develop the skills necessary to succeed as a statistician. You will learn about topics such as probability, statistics, and data analysis, which are all essential for statisticians. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Software Engineer
Software engineers use mathematical and logical skills to design, develop, and test software systems. This course will help you develop the skills necessary to succeed as a software engineer. You will learn about topics such as computer science, software design, and software testing, which are all essential for software engineers. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Data Scientist
Data scientists use mathematical and statistical techniques to analyze data and extract meaningful insights. This course will help you develop the skills necessary to succeed as a data scientist. You will learn about topics such as data mining, machine learning, and visualization, which are all essential for data scientists. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Business Analyst
Business analysts use mathematical and statistical techniques to analyze business data and make recommendations. This course will help you develop the skills necessary to succeed as a business analyst. You will learn about topics such as business intelligence, data analysis, and decision-making, which are all essential for business analysts. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Financial Planner
Financial planners use mathematical and statistical techniques to help clients plan for their financial future. This course will help you develop the skills necessary to succeed as a financial planner. You will learn about topics such as financial planning, investment management, and retirement planning, which are all essential for financial planners. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Investment Banker
Investment bankers use mathematical and statistical techniques to analyze financial data and make investment recommendations. This course will help you develop the skills necessary to succeed as an investment banker. You will learn about topics such as financial modeling, valuation, and risk management, which are all essential for investment bankers. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Management Consultant
Management consultants use mathematical and statistical techniques to help businesses improve their performance. This course will help you develop the skills necessary to succeed as a management consultant. You will learn about topics such as business strategy, operations management, and financial analysis, which are all essential for management consultants. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.
Teacher
Teachers use mathematical and statistical concepts to help students learn. This course will help you develop the skills necessary to succeed as a teacher. You will learn about topics such as geometry, algebra, and calculus, which are all essential for teachers. Additionally, this course will help you develop your problem-solving and critical thinking skills, which are also important for success in this field.

Reading list

We've selected ten books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Become a Geometry Master.
This classic work by David Hilbert foundational text on the axiomatic method in geometry. It provides a rigorous treatment of the basic concepts of geometry and is essential reading for anyone who wants to understand the foundations of the subject.
This comprehensive textbook covers a wide range of topics in geometry, from basic concepts to advanced topics such as projective geometry and non-Euclidean geometry. It great choice for students who want to pursue a career in mathematics or for those who want to develop a deep understanding of geometry.
This classic work by René Descartes landmark in the history of mathematics. It introduces the idea of analytic geometry, which uses algebra to describe geometric shapes. It also contains a number of important theorems on geometry.
This hands-on textbook provides a variety of activities and investigations that help students learn geometric concepts. It great choice for teachers who want to use a more hands-on approach or for students who want to explore geometry in a more interactive way.
This classic textbook is known for its clear and rigorous approach to geometry. It covers a wide range of topics, from basic concepts to advanced topics like topology. It great choice for students who want a thorough understanding of geometry and for those who want to pursue a career in mathematics.
This unique textbook uses geometry to explore a variety of real-world applications, such as art, architecture, and engineering. It great choice for students who want to see how geometry is used in the real world or for those who want to develop their spatial reasoning skills.
This engaging textbook provides a unique approach to geometry. It uses a guided inquiry approach that encourages students to actively explore geometric concepts and make their own discoveries. It great choice for students who want to develop a deep understanding of geometry and for teachers who want to use a more hands-on approach.
This problem-solving book provides hundreds of challenging problems in Euclidean geometry. It great resource for students who want to improve their problem-solving skills and for those who want to prepare for math competitions.
This user-friendly textbook provides a clear and concise introduction to geometry. It great choice for students who are new to geometry or for those who need a refresher.

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