Geometry - Congruent Triangles, Quadrilaterals, Polygons, and Circle Relationships

Master fundamental geometric concepts through this comprehensive video course covering congruent triangles, quadrilaterals, coordinate geometry, polygons, circles, and three-dimensional solids. Explore triangle congruence conditions and flowcharts, then advance to quadrilateral properties and coordinate geometry applications. Learn to construct two-column proofs and apply the triangle midsegment theorem while working with unique geometric shapes. Study interior angles of polygons, regular polygon properties, and area calculations before diving into ratios of similar polygons and circle geometry. Investigate three-dimensional solids including prisms, pyramids, and cones, calculating their volumes and surface areas while understanding volume ratios. Examine circle relationships through intercepted arcs, chords, tangents, and secants with detailed explanations of circle theorems. Practice problem-solving techniques through unit reviews, practice exams, and solution guides that reinforce key geometric principles and proof strategies throughout each topic area.

Syllabus

6.1.1 - Congruent Triangles
6.1.2 - Conditions for Triangle Congruence
6.1.3 - Flowcharts for Congruence
6.1.4 - Converses
Unit 6 Review
7.1.2 - Quadrilaterals & Graphing (no audio)
7.1.2 - Quadrilaterals
7.1.3 - Coordinate Geometry
7.2.3 - Two-Column Proofs
7.2.6 - Triangle Midsegment Theorem & Unique Shapes
A#12 Solutions (Unit 7A Review)
Unit 7 Review
8.1.2 - Interior Angles of a Polygon
8.1.3 - Regular Polygons
8.1.5 - Areas of Regular Polygons
8.2.2 - Ratios of Similar Polygons
8.3.2 - Circles
Unit 8 Review
Unit 8 Group Review Solution Guide
9.1.1 - Construction of Solids (page 1)
N#14 (part 2) - Volumes & Surface Areas of Cubes
9.1.4 - Ratio of Volumes
9.1.3 - Volumes & Surface Areas of Prisms
11.1.2 - Pyramids
Glasses MARS Task Introduction
Glasses MARS Task Problem #3 Solution Guide
11.1.4 - Cones
10.1.2 - Intercepted Arcs
10.1.1 - Chords
10.1.1 - Chords (now with audio!)
11.2.2 - Tangents & Arcs
11.2 Review - Circle Relationships (Secants & Tangents)
Unit 10 Practice Exam Solution Guide
Circle Stuff (cheat sheet) -- EXPLAINED
Unit 6 Review - Two-Column Proofs
Unit 8 Review - Lecture notes and practice problems
Unit 7 Review - Lecture notes and practice problems
Unit 9 Review - Lecture notes and practice problems
Unit 10 Review - Lecture notes and practice problems
Geometry Final Review Solution Guide