Learn about a new kind of segment and a new kind of proof, one without any columns, two or otherwise, all of which have a link to the Legend of Zelda.

Objective 1a

You will be able to discover, use, and prove the Midsegment Theorem

In this introductory lesson, we define a midsegment of a triangle and use some virtual patty paper to investigate to key properties of midsegments. Duration_6_52

Objective 1b

In Example 1, we graph a triangle along with one of its midsegments. We use this example to get a sneak preview of a coordinate proof and gather more evidence for the Midsegment Theorem, which is formally stated at the end of the video. Duration_16_06

Objective 1c

Use a roof truss (of course) and some algebra to illustrate the Midsegment Theorem in Examples 2 and 3. Duration_5_17

Objective 2a

You will be able to write a coordinate proof

Here, we introduce the coordinate proof and practice our coloring skills while conveniently placing rectangles and triangles in the coordinate plane and assign variable coordinates for each vertex in Examples 4 and 5. Duration_16_56

Objective 2b

Example 8 uses the medians of an isosceles triangle to demonstrate the academically-accepted method to safely construct a coordinate proof. Duration_19_15

Objective 2c

In this final presentation, we finally set about writing a coordinate proof of the Midsegment Theorem. Please commemorate this momentous occasion by vlogging, Tik-Tokking, or writing about your experiences on your WordPress website. Or are you using Anglefire these days? Duration_10_57

Geometry 4(A) distinguish between undefined terms, definitions, postulates, conjectures, and theorems

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