Lesson Plan: Parallel Lines and Transversals: Other Relationships | Nagwa Lesson Plan: Parallel Lines and Transversals: Other Relationships | Nagwa

# Lesson Plan: Parallel Lines and Transversals: Other Relationships Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to apply the angle relationships between a pair of parallel lines and a transversal to establish and use other relationships between parallel lines and transversals.

#### Objectives

Students will be able to

• establish and use the following:
• if a line is perpendicular to a line , then it is perpendicular to any other line parallel to ,
• if two lines are both perpendicular to a third line, then they are parallel,
• if two lines are both parallel to a third line, then they are parallel,
• recognize that if a set of parallel lines divides a transversal into segments of equal lengths, then that set divides any other transversal into segments of equal lengths.

#### Prerequisites

Students should already be familiar with

• angle relationships between a pair of parallel lines and a transversal.

#### Exclusions

Students will not cover

• similar shapes, particularly the triangle,
• the triangle midsegment theorem.

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