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Learn Geometry with Ember Learning Labs! This free online course covers points, lines, angles, triangles, polygons, circles, and more. Perfect for mastering basic geometry concepts.
The Geometry Course offers a comprehensive exploration into the fundamentals of geometry. Spanning a duration of 15 hours and 57 minutes, this course is meticulously designed for students beginning their journey in the realm of geometric concepts. Currently without any reviews, this course falls under the Basic Studies category and delves deeply into the subcategory of Geometry.
This course begins with the foundational elements of geometry, introducing students to the basic constructs such as points, lines, and planes. As you progress, you'll engage with the concepts of line segments and distance, which are essential for understanding spatial relationships. The Midpoint Formula is also covered early on to help in determining central points between line segments.
An essential aspect of geometry—the measurement of angles—is addressed thoroughly, including various angle relationships that are fundamental to understanding geometric figures. Transitioning from two-dimensional figures to three-dimensional ones prepares students for more complex applications and visualizations of geometric principles.
The course then delves into logical reasoning, starting with inductive reasoning and proofs. Understanding the fundamentals of logic and conditional statements is crucial for developing a strong foundation in mathematical reasoning. This section also covers proving segment and angle relationships, which are vital skills in geometric problem-solving.
Lines and their properties form the backbone of many geometric principles. The course explores parallel lines, transversals, and the angles they create. The relationship between line slopes and how to write equations of lines is also examined. Understanding how to prove lines parallel and the concepts of perpendiculars and distance are included to provide a rounded comprehension of line geometry.
Triangles, one of the most studied shapes in geometry, are given particular attention. This includes classifying triangles, understanding their angles, and proving them congruent through various methods such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). Special types of triangles like isosceles and equilateral are also discussed. Further, the course delves into the properties of bisectors, medians, altitudes, and inequalities within triangles, as well as the triangle inequality theorem and inequalities in two triangles.
Students will gain significant insight into polygons by learning about their angles and properties. Parallelograms and tests for identifying them are another vital component of this section. Ratio and proportion principles are then applied to polygons and triangles, exploring similarity and transformations, including scale drawings and models.
Key principles such as the Geometric Mean, the Pythagorean Theorem and its converse, and special right triangles set the stage for more advanced topics like trigonometry, angles of elevation and depression, and the laws of sines and cosines. Vectors are also introduced to enhance understanding of direction and magnitude in geometry.
The course includes a thorough examination of geometric transformations, such as reflections and translations. Circles also play a crucial role, and you'll learn about their circumference, measuring angles and arcs, arcs and chords, inscribing angles, and tangents.
In conclusion, this Geometry Course provides a broad and detailed foundation in geometric principles, making it an excellent starting point for those in Basic Studies seeking to deepen their knowledge in Geometry. Whether it's mastering the properties of shapes, understanding geometric transformations, or applying trigonometric principles, this course offers a structured path to become proficient in geometry.
Video class: 1-1 Point Line and Plane | Geometry | Ember Learning Labs
0h18m
Exercise: In geometry, which of the following statements about a plane is true?
Video class: 1-2 Line Segments and Distance | Geometry | Ember Learning Labs
0h17m
Exercise: In a given line segment AB, point C is on AB such that AC = 4x - 3 and CB = 2x + 5. If AB measures 19 units, what is the value of x?
Video class: 1-3 Midpoint Formula | Geometry | Ember Learning Labs
0h13m
Exercise: What is the midpoint of the segment connecting the points (8, -2) and (-4, 6)?
Video class: 1-4 Angle Measure | Geometry | Ember Learning Labs
0h25m
Exercise: In geometry, which type of angle is defined as an angle that measures exactly 90 degrees?
Video class: 1-5 Angle Relationships | Geometry | Ember Learning Labs
0h16m
Exercise: Which pair of angles are considered supplementary angles?
Video class: 1-6 Two-Dimensional Figures | Geometry | Ember Learning Labs
0h27m
Exercise: Which of the following statements accurately describes a polygon?
Video class: 1-7 Three-Dimensional Figures | Geometry | Ember Learning Labs
0h23m
Exercise: Which of the following statements is true about a cylinder?
Video class: 2-1 Inductive Reasoning and Proof | Geometry | Ember Learning Labs
0h15m
Exercise: In a sequence of numbers, the first term is 5, the second term is 11, and the third term is 17. If the sequence follows the same pattern, what would be the fifth term?
Video class: 2-2 Logic | Geometry | Ember Learning Labs
0h24m
Exercise: What is the truth value of the compound statement 'not P or Q' when P is true and Q is false?
Video class: 2-3 Conditional Statements | Geometry | Ember Learning Labs
0h19m
Exercise: In a conditional statement, which of the following describes the 'hypothesis' part?
Video class: 2-7 Proving Segment Relationships | Geometry | Ember Learning Labs
0h18m
Exercise: Which of the following best describes the application of the segment addition postulate?
Video class: 2-8 Proving Angle Relationships | Geometry | Ember Learning Labs
0h18m
Exercise: Which of the following statements is a correct interpretation of the vertical angles theorem?
Video class: 3-1 Parallel Lines and Transversals | Geometry | Ember Learning Labs
0h15m
Exercise: In geometry, when dealing with parallel lines and a transversal, which pair of angles formed are considered alternate interior angles?
Video class: 3-2 Angles and Parallel Lines | Geometry | Ember Learning Labs
0h12m
Exercise: If two parallel lines are cut by a transversal, which of the following statements is always true?
Video class: 3-3 Slopes of Lines | Geometry | Ember Learning Labs
0h15m
Exercise: If line AB has a slope of 3, and line CD has a slope of -1/3, what can we conclude about lines AB and CD?
Video class: 3-4 Writing Equations of Lines | Geometry | Ember Learning Labs
0h23m
Exercise: Which of the following represents the equation of a line that is parallel to the line y = 2x - 5?
Video class: Geometry Page 315 Number 10 walkthrough
0h10m
Exercise: In a parallelogram, we have two sets of parallel lines. If XZ is the transversal line cutting these parallel lines and forms angles 1, 2, 3, and 4. If angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4, which triangles formed by these lines can be proven congruent, and by which method?
Video class: 3-5 Proving Lines Parallel | Geometry | Ember Learning Labs
0h10m
Exercise: When two lines are cut by a transversal and the pairs of alternate interior angles are congruent, what can we conclude about the lines?
Video class: 3-6 Perpendiculars and Distance | Geometry | Ember Learning Labs
0h35m
Exercise: What is the distance between point A at (-2, 3) and point B at (4, -1) on a coordinate plane?
Video class: 4-1 Classifying Triangles | Geometry | Ember Learning Labs
0h11m
Exercise: How can triangles be categorized based on their sides?
15 hours and 57 minutes of online video course
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