Not everything is equal, you know. Sometimes things are INequal, especially with respect to triangles.

Objective 1a

You will be able to complete and use the Triangle Inequality Theorems

In this video, Mr. Labelle reviews how to graph both 1-dimensional and 2-dimensional inequalities and then formally defines what "inequality" means. You only thought you know what 10 > 6 meant. Duration_7_36

Objective 1b

Here, Mr. Labelle uses a series of straws to investigate the Triangle Inequality Theorem, answering the question, "When can any three segment lengths form a triangle?" Duration_5_35

Objective 1c

This presentation contains the actual statement for the Triangle Inequality Theorem and works through Example 3 to determine whether three given segment lengths could be used for the sides of a triangle. Duration_5_52

Objective 1d

Given any two side lengths, what are the possible lengths of the third side? That's the question, this video seeks to answer. Duration_5_35

Objective 1e

In Example 6, Mr. Labelle applies the Triangle Inequality Theorem to an insane algebra problem, because that's just what we do. Duration_7_30

Objective 1f

There's actually another couple of inequalities associated with a triangle's angles and the sides that are across from them. Duration_7_12

Objective 1g

In this proof of the Side-Angle Inequality, Mr. Labelle puts the Base Angles Theorem, the definition of inequality, and the Triangle Exterior Angle Theorem to good use. Duration_7_12

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

Geometry 5(D) verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems

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