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Comprehensive Geometry - Points, Lines, Triangles, Polygons, and Transformations

Ember Learning Labs via YouTube

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Overview

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Master fundamental geometric concepts through this comprehensive course covering points, lines, planes, and progressing to advanced topics including trigonometry and transformations. Begin with basic geometric elements like line segments, distance formulas, and angle measurements before exploring two-dimensional and three-dimensional figures. Develop logical reasoning skills through inductive reasoning, conditional statements, and geometric proofs for both segment and angle relationships. Study parallel lines, transversals, slopes, and line equations while learning to prove lines parallel and work with perpendicular relationships. Examine triangle classifications, angle properties, and congruence theorems including SSS, SAS, ASA, and AAS, plus special properties of isosceles and equilateral triangles. Investigate triangle bisectors, medians, altitudes, and various triangle inequalities. Explore polygon angles, parallelograms, and tests for identifying parallelograms. Delve into ratios, proportions, similar polygons and triangles, parallel lines with proportional parts, and similarity transformations including scale drawings. Apply the geometric mean, Pythagorean theorem, special right triangles, and trigonometric functions to solve problems involving angles of elevation and depression. Study the laws of sines and cosines along with vector operations. Complete your geometric education with transformations including reflections and translations, followed by comprehensive circle geometry covering circumference, angle and arc measurements, chords, inscribed angles, and tangent properties.

Syllabus

1-1 Point Line and Plane | Geometry | Ember Learning Labs
1-2 Line Segments and Distance | Geometry | Ember Learning Labs
1-3 Midpoint Formula | Geometry | Ember Learning Labs
1-4 Angle Measure | Geometry | Ember Learning Labs
1-5 Angle Relationships | Geometry | Ember Learning Labs
1-6 Two-Dimensional Figures | Geometry | Ember Learning Labs
1-7 Three-Dimensional Figures | Geometry | Ember Learning Labs
2-1 Inductive Reasoning and Proof | Geometry | Ember Learning Labs
2-2 Logic | Geometry | Ember Learning Labs
2-3 Conditional Statements | Geometry | Ember Learning Labs
2-7 Proving Segment Relationships | Geometry | Ember Learning Labs
2-8 Proving Angle Relationships | Geometry | Ember Learning Labs
3-1 Parallel Lines and Transversals | Geometry | Ember Learning Labs
3-2 Angles and Parallel Lines | Geometry | Ember Learning Labs
3-3 Slopes of Lines | Geometry | Ember Learning Labs
3-4 Writing Equations of Lines | Geometry | Ember Learning Labs
Geometry Page 315 Number 10 walkthrough
3-5 Proving Lines Parallel | Geometry | Ember Learning Labs
3-6 Perpendiculars and Distance | Geometry | Ember Learning Labs
4-1 Classifying Triangles | Geometry | Ember Learning Labs
4-2 Angles of Triangles | Geometry | Ember Learning Labs
4-3 Congruent Triangles | Geometry | Ember Learning Labs
4-4 Proving Triangles Congruent SSS and SAS | Geometry | Ember Learning Labs
4-5 Proving Triangles Congruent ASA and AAS| Geometry | Ember Learning Labs
4-6 Isosceles and Equilateral Triangles | Geometry | Ember Learning Labs
5-1 Bisectors of Triangles | Geometry | Ember Learning Labs
5-2 Medians and Altitudes of Triangles | Geometry | Ember Learning Labs
5-3 Inequalities in One Triangle | Geometry | Ember Learning Labs
5-4 The Triangle Inequality | Geometry | Ember Learning Labs
5-6 Inequalities in Two Triangles | Geometry | Ember Learning Labs
6-1 Angles of Polygons | Geometry | Ember Learning Labs
6-2 Parallelograms | Geometry | Ember Learning Labs
6-3 Tests for Parallelograms | Geometry | Ember Learning Labs
7-1 Ratios and Proportions | Geometry | Ember Learning Labs
7-2 Similar Polygons | Geometry | Ember Learning Labs
7-3 Similar Triangles| Geometry | Ember Learning Labs
7-4 Parallel Lines and Proportional Parts | Ember Learning Labs
7-5 Parts of Similar Triangles | Ember Learning Labs
7-6 Similarity Transformations | Ember Learning Labs
7-7 Scale Drawings and Models | Ember Learning Labs
8-1 Geometric Mean | Ember Learning Labs
8-2 The Pythagorean Theorem and its Converse | Ember Learning Labs
8-3 Special Right Triangles | Ember Learning Labs
8-4 Trigonometry | Ember Learning Labs
8-5 Angles of Elevation and Depression | Ember Learning Labs
8-6 The Laws of Sines and Cosines | Ember Learning Labs
8-7 Vectors | Ember Learning Labs
9-1 Reflections | Ember Learning Labs
9-2 Translations | Ember Learning Labs
10-1 Circles and Circumference | Ember Learning Labs
10-2 Measuring Angles and Arcs | Ember Learning Labs
10-3 Arcs and Chords | Ember Learning Labs
10-4 Inscribing Angles | Geometry | Ember Learning Labs
10-5 Tangents | Geometry | Ember Learning Labs

Taught by

Ember Learning Labs

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