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Complete Geometry Masterclass: Basics to Advanced Geometry
Rating: 3.9 out of 5(23 ratings)
172 students
Last updated 12/2023
English

What you'll learn

  • Learn Points, Lines, Triangles and Circle
  • Area and volume of Shapes
  • Cone, Cube, Prism, Sphere & Hemisphere
  • Interior and exterior angles
  • Pyramid, Frustum, Cylinder, Cuboid, Hollow Shapes
  • Learn Geometry, Matrix, and Vector
  • Circle Geometry
  • Cyclic Quadrilateral
  • Triangle congruence, including SSS, ASA, SAS, AAS, HL,
  • Learn Matrix operations (addition, scaling, multiplication)
  • Pythagorean Theorem
  • Parallelogram, Rhombus, Rhomboid, Rectangle
  • Square, Congruent Triangles, Polygon
  • Quadrilateral, Parallel Lines
  • Cartesian Coordinates, Coordinate Geometry
  • Vectors in 2D and 3D spaces
  • Matrices, Trigonometry

Course content

47 sections575 lectures14h 2m total length
  • Point0:52

    Define a point as the exact location with no size, emphasizing its position as the smallest unit in geometry.

  • Line2:27

    Define a line as a set of points that extends indefinitely in both directions, is one-dimensional with no thickness, and includes basic types such as horizontal and parallel lines.

  • Segment1:45

    Identify the segment, or line segment, as the finite part of a line with endpoints. Learn how two points define a line and how a segment differs by having endpoints.

  • Ray1:42

    A ray is part of a line with one endpoint. The other direction is indefinite and continues.

  • Types of Lines0:40

    Identify horizontal lines, vertical lines, and a parade line, and examine how each type of line is used.

  • Horizontal Lines0:50

    Explore horizontal lines as straight lines that run from left to right, and distinguish them from angled lines, with key definitions and geometric basics.

  • Vertical Lines0:38

    present vertical lines as straight lines that run from bottom to top or top to bottom, indicating vertical orientation.

  • Parallel Lines2:12

    Explore parallel lines: two straight lines that never meet, with a constant distance between them, indicated by arrows.

  • Perpendicular Lines1:37

    Explore perpendicular lines by examining where two lines meet at a right angle, learn how to identify and describe lines perpendicular to a given line, and distinguish non-perpendicular configurations.

  • Oblique or Slanting Lines0:43

    Explore oblique or slanting lines and distinguish them from horizontal and vertical lines, clarifying how oblique lines tilt relative to the axes.

  • Secant Line0:51

    Explore secant lines in circle geometry from the Complete Geometry Masterclass, understanding how a line from outside a circle passes through the circle and is identified as a secant.

  • Tangent Line0:57

    Identify the tangent line as a line that touches the circle at a single point, and note that the same concept can have different names.

  • Intersection1:17

    Demonstrate the concept of intersection for two lines, explain how the angle between them is defined (including zero degrees), and show how to locate the intersection point.

  • Exercise and Solution 10:32

    Identify the line segments among the options by checking that they have a beginning and end and form a straight line between two points, then select the correct segment.

  • Exercise and Solution 24:00

    Explore counting line segments and identifying parallel and perpendicular lines in a geometry diagram, with step-by-step reasoning to reveal which segments are parallel or perpendicular.

  • Exercise and Solution 30:35

    Identify parts of lines, classify lines as horizontal, vertical, or oblique, and determine their intersections in exercise 3.

  • Angles2:17

    Define an angle as the region between two lines that meet at a vertex. Represent angles using vertex-based notation like angle abc or angle ceb, or by numbers and letters.

  • Types of Angles0:48

    Identify types of angles: acute, right, obtuse, straight, reflex, full, and zero angles; explore opposite angles and learn complementary and supplementary angles.

  • Acute Angle1:32

    Define an acute angle as an angle less than 90 degrees and greater than zero. The lecture illustrates multiple acute-angle examples and emphasizes that angles under 90 degrees remain acute.

  • Right Angle1:05

    Identify a right angle as an angle equal to 90 degrees formed by a vertical line perpendicular to a horizontal line, and recognize its role in a right angle triangle.

  • Obtuse Angle1:11

    Explore obtuse angles, defined as angles greater than 90 degrees and less than 180 degrees, with visual demonstrations showing how they relate to the 90-degree angle.

  • Straight Angle0:55

    Learn about straight angles, defined as an angle on a straight line measuring 180 degrees.

  • Reflex Angle0:30

    Learn about reflex angles, defined as angles greater than 180 degrees but less than 360 degrees, and how lines form these angles in geometric configurations.

  • Full Angle0:48

    Define the full angle as a complete rotation of 360 degrees around a point, illustrating a complete cycle and its relation to the clock.

  • Zero Angle0:56

    Explore the concept of a zero degree angle, where two lines lie on top of each other and the space between them is zero.

  • Opposite Angles0:52

    Explore opposite angles formed by two intersecting lines, and learn that these opposite angles are equal, while labeling angles with letters such as a, b, c, and d.

  • Complementary Angles0:42

    Explore complementary angles, two angles that sum to 90 degrees; learn how to name them and the relation that a and b equal 90 degrees when placed on a line.

  • Adjacent Angles2:55

    Learn about adjacent angles, two angles that share a common side and a common vertex, do not overlap, and are shown with labeled points along a line.

  • Supplementary Angles0:38

    Explore supplementary angles by showing how two angles add to 180 degrees, with examples of angle a and angle b forming a supplementary pair.

  • Positive and Negative Angles1:06

    Identify positive angles as those measured counterclockwise and negative angles as those measured clockwise, based on the rotation direction relative to the clock.

  • Transversal0:58

    Explore transversal concepts by examining a line that intersects two lines, identifying the position and relationships of the transversal as it crosses the lines.

  • Interior Angles1:54

    Explore interior angles formed by parallel lines and learn that same-side interior angles are supplementary, adding up to 180 degrees.

  • Exterior Angles1:19

    Examine exterior angles and their relation to interior angles in polygons, noting that adjacent angles on a straight line sum to 180 degrees.

  • Alternate Angles1:05

    Explore alternate interior angles formed by two lines and understand why interior angles are equal, with examples labeled c and d.

  • Corresponding Angles1:20

    Explore corresponding angles, showing that corresponding angles are equal across two lines, with diagrams pointing out matching positions.

  • Vertical Angles1:38

    Explore vertical angles formed by intersecting lines, identify opposite angles, and learn that vertical angles are always equal.

  • Exercise and Solution 41:21

    Work through an exercise on identifying angle measures using corresponding, alternate, and vertical angles, determining that several angles equal 50 degrees along a straight line.

  • Congruent Angles1:08

    Explore congruent angles as equal measures that express agreement and harmony, illustrating their similarity and symmetry in triangles.

  • Dimension1:35

    Identify zero-dimensional points, one-dimensional lines, two-dimensional planes, and three-dimensional solids, using examples like a line, plane, cube, and a ball to illustrate dimensions.

  • Equal line and Angle Representations4:11

    Learn to represent equal lines and equal angles in diagrams using strokes, show which lines are equal, and distinguish equal from not equal cases.

  • Plane | Plane Shape1:48

    Identify a plane as a flat, two-dimensional surface and recognize plane shapes such as square, triangle, semicircle, and quadrant drawn on a diagram.

  • Regular and Irregular Shapes1:40

    Identify how regular shapes have equal sides and angles, while irregular shapes lack equality, illustrated with triangles and various angles.

  • More Examples of Regular and Irregular Shapes0:31

    Explore how to distinguish regular from irregular shapes through examples, focusing on patterns of regularity and irregularity. See more examples of regular and irregular shapes.

  • Rectangle0:17

    Explore the rectangle by examining its 90-degree angles, clarifying how all angles measure 90 degrees to build foundational geometry concepts.

  • Square0:55

    Explore the square in geometry, confirming that all sides are equal, opposite sides are equal, and all angles are right angles (90 degrees) for precise shape definitions.

  • Triangle1:04

    Explain that a triangle is defined by three angles and three sides, regardless of shape.

  • The Sum of Angles of a Triangle0:42

    Demonstrates that the interior angles of any triangle sum to 180 degrees, for all triangle types, using angle labels A, B, and C.

  • Isosceles Triangle0:44

    Explore the isosceles triangle in this geometry masterclass, where two sides are equal and the base angles are equal.

  • Acute-angled Triangle0:27

    Explore the acute-angled triangle and learn that none of the angles nor sides are equal, helping you classify this triangle type.

  • Obtuse-angled Triangle0:25

    Identify obtuse-angled triangles by recognizing angles greater than 90 degrees within a triangle, and name this triangle type.

  • Right-angled Triangle0:27

    Examine a right-angled triangle and identify a 90-degree angle, clarifying what defines a right-angled triangle.

  • Equilateral Triangle1:01

    Identify the equilateral triangle, where all angles are equal, and explain that the angle sum yields 60 degrees per angle.

  • Trapezium - Trapezoid0:48

    Explore the trapezium, a two-dimensional quadrilateral and its sides, and compare trapezium with trapezoid by examining side configurations described in this lecture.

  • Types of Trapezium3:12

    Explore types of trapezium, including acute and right variants, and see how equal opposite angles and parallel lines shape their properties.

  • Polygon and Types of polygons1:24

    Define polygons as two-dimensional shapes with straight, closed sides, and classify them by number of sides from triangle to ten, noting the Greek origin meaning many angles.

  • Diagonal1:09

    Identify the diagonal, called the Gooner, as the line from one vertex to the opposite, and note the intersection where two lines cross in a square.

  • Bisector1:20

    a line called the angle bisector divides an angle into two equal parts, labeling the subangles and showing a 60-degree angle becomes two 30-degree parts.

  • Circle1:27

    Explore the circle concept by identifying the center and circumference, and understand that all points are equally distant from a fixed center; practice constructing with compasses.

  • Quadrant of a Circle0:32

    Discover how a circle is divided into equal parts around its center, introducing the quadrant of a circle.

  • Circumference0:45

    Learn how circumference equals the perimeter, representing the total length of a cycle's boundary for various shapes.

  • Radius0:25

    Explore the radius as a straight line from the center to the circumference, and learn that multiple radii are called radii.

  • Arc0:42

    Identify an arc as part of a circle's circumference, relate radius to the center, and outline the angle subtended by an arc.

  • Chord0:34

    Define a chord as a straight line segment with endpoints on a circle. Note that a chord that passes through the center represents a special case of this concept.

  • Diameter1:10

    Define the diameter as a chord that passes through the center of a circle. Explore how the diameter connects two points on the circumference.

  • Semi-Circle0:53

    Learn that a diameter divides a circle into two equal parts, forming a semicircle, and see how the semicircle represents one side of the circle in the hemicycle discussion.

Requirements

  • You need arithmetic such as addition, subtraction, multiplication and division to work along

Description

In this course, you will learn Geometry, Matrix, and Vectors. We are going to start from the basics and go deeper into all topics in Geometry related to Geometry.

Here is what some students have to say concerning my courses:

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★★★★★ "Such a great match! So far he explains it in lamen's terms that are incredibly easy to understand. I am looking forward to more!"


If you have any questions you can always contact me via Q & A or direct message. I will respond ASAP without any delay. At the end of this course, you will be awarded a certificate of completion. All these come with 30-day money-back guarantees.

Enroll today and start the incredible journey of understanding Geometry, and become a master of Geometry!

Who this course is for:

  • Students about to start geometry
  • Current Geometry students
  • Students who are looking to get ahead
  • Homeschool parents looking for expert support with geometry
  • Those who want to study geometry or math for fun