Learning Objectives:

__Math Tutoring on Properties of Perpendicular Lines__

__Perpendicular Transversal:__

When two **Parallel Lines** are cut by a **Perpendicular Transversal****, **8 right angles are formed.

*Theorem1:*

If two lines are **Perpendicular** to the same line, they are parallel to each other.

*Theorem2: *

If two lines are parallel and a third line is **Perpendicular**** **to one of the parallel lines, it is **Perpendicular**** **to the other parallel line.

__Distance Formula:__

The distance between the two points and is given as

*Shortest Distance between a Point and a Line:*

The shortest distance between a point and a line is a **Perpendicular Line Segment.** The **Slopes of Perpendicular Lines** are **Negative Reciprocals.**

*Distance between Two Parallel Lines on the Coordinate Plane**:*

The shortest distance between two **Parallel Line**s is the length of a **Perpendicular Segment.**

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**Hook questions:**

*1. **What is **Perpendicular Transversal?*

*2. **Write the **Distance Formula** between two points.*

*3. **What is the shortest distance between a point and a line?*

*4. **What is the distance between two** Parallel Lines?*

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