Various triangle sum properties will be revealed in this lesson as well as at least one secret of the universe.

Proof of the Triangle Sum Theorem

Proof of the Triangle Sum Theorem in Euclidean Geometry. The key to the proof, as you will see, lies in adding a clever auxiliary line.  Duration_11_39

What is the Shape of Space

MinutePhysics video discussing the probable Euclidean nature of our universe.  Duration_3_38

Super Mario_Low Poly

A+Start video detailing the historical progression of the polygon counts in Nintendo's 3-D Mario models from Mario 64 (1996) to Mario & Sonic Olympic Games (2016).  Duration_18_18

Geometry 5(A) investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools 

Geometry 6(D) verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems