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Geometry Chapter 5 - Triangles: Types, Angles, Sides, and Congruency

Michel van Biezen via YouTube

Overview

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Explore comprehensive geometry instruction covering triangles through a detailed video series that systematically examines triangle properties, classifications, and problem-solving techniques. Begin with fundamental concepts including triangle definitions and various triangle types, then progress through calculating side lengths using the distance formula. Master the distinction between interior and exterior angles while learning to apply the exterior angle theorem through multiple worked examples and proofs. Develop understanding of congruent figures, including proper notation for congruent sides and angles, and explore when figures qualify as congruent. Study the third angle theorem with practical applications, then advance to triangle congruency postulates including SSS (Side-Side-Side), SAS (Side-Angle-Side), and HL (Hypotenuse-Leg). Practice identifying congruent triangles through various examples and learn to determine unknown angle measures and variable values in geometric problems. Apply congruency principles to solve complex problems involving triangle relationships and prove triangle congruence using different methods.

Syllabus

Geometry - Ch. 5: Triangle (1 of TBD) What is a Triangle?
Geometry - Ch. 5: Triangle (2 of TBD) Types of Triangles
Geometry - Ch. 5: Triangle (3 of TBD) Determine the Sides Using the Distance Formula
Geometry - Ch. 5: Triangle (4 of TBD) Interior vs Exterior Angles
Geometry - Ch. 5: Triangle (5 of TBD) the Exterior Angle Theorem
Geometry - Ch. 5: Triangle (6 of TBD) Proof of the Exterior Angle Theorem
Geometry - Ch. 5: Triangle (7 of TBD) Example of the Exterior Angle Theorem
Geometry - Ch. 5: Triangle (8 of TBD) More Examples of the Exterior Angle Theorem
Geometry - Ch. 5: Triangle (9 of TBD) More Examples of the Exterior Angle Theorem Part 2
Geometry - Ch. 5: Triangle (10 of TBD) More Examples of the Exterior Angle Theorem Part 3
Geometry - Ch. 5: Triangle (11 of TBD) More Examples of the Exterior Angle Theorem Part 4 [ x = 35]
Geometry - Ch. 5: Triangle (12 of TBD) When Are Figures Congurent?
Geometry - Ch. 5: Triangle (13 of TBD) Notation for Congruent Sides and Angles
Geometry - Ch. 5: Triangle (14 of TBD) Congruent Figures Examples
Geometry - Ch. 5: Triangle (15 of TBD) The Third Angle Theorem
Geometry - Ch. 5: Triangle (16 of TBD) Third Angle Theorem Example
Geometry - Ch. 5: Triangle (17 of TBD) Congruent Triangles Example
Geometry - Ch. 5: Triangle (18 of TBD) The SSS, SAS, and HL Postulates
Geometry - Ch. 5: Triangle (19 of TBD) What Are Congruent Triangles?
Geometry - Ch. 5: Triangle (20 of TBD) Congruency for Non-Triangles, Find x=? y=?
Geometry - Ch. 5: Triangle (21 of TBD) Show Triangle PTS = Triangle RTQ
Geometry - Ch. 5: Triangle (22 of TBD) Determine If Triangle NDC = Triangle NRS
Geometry - Ch. 5: Triangle (23 of TBD) Find Angle BCD=?
Geometry - Ch. 5: Triangle (24 of TBD) Find x=? y=?
Geometry - Ch. 5: Triangle (25 of TBD) Determining Triangles are Congruent by SSS (Side-Side-Side)
Geometry - Ch. 5: Triangle (26 of TBD) Find the Correct Answer (Find the Congurent Triangle)
Geometry - Ch. 5: Triangle (27 of TBD) Determine If Congurent
Geometry - Ch. 5: Triangle (28 of TBD) Determine the Value of x=?

Taught by

Michel van Biezen

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