Lesson Plan: Triangle Midsegment Theorems Mathematics • First Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the triangle midsegment theorem to prove the parallelism of lines in a triangle or find a missing side length.
Objectives
Students will be able to
- understand and prove that the straight line segment passing through the midpoint of one side of a triangle that is also parallel to another side of the triangle bisects the third side of the triangle,
- understand and prove that the straight line segment connecting the midpoints of two sides of a triangle is parallel to the other side and is half its length,
- use the triangle midsegment theorems to solve problems,
- prove geometric properties using the triangle midsegment theorems.
Prerequisites
Students should already be familiar with
- parallel lines,
- bisectors,
- parallelograms.
Exclusions
Students will not cover
- the Pythagorean theorem.
