Learning Objectives:

__Math Tutoring on Parallel and Perpendicular Lines__

*Parallel Lines:*

Lines are **Parallel** if they are in the same **Plane(Coplanar)** and do not intersect.We use the symbol **“||”** to represent **Parallel Lines****.**To mark **Parallel Lines** in a diagram we use arrows.

*Intersecting Lines:*

Two lines in the same plane either intersect or are parallel.If two lines intersect and form a right angle, the lines are **Perpendicular.**

Two planes are **Parallel** if they never intersect.Two planes are **Perpendicular** if they intersect and form a right angle.

*Parallel Line Postulate*

For a line and a point, not on the line, there is exactly one line **Parallel** to the line through the point.

*Perpendicular Line Postulate*

For a line and a point, not on the line, there is exactly one line **Perpendicular** to the line that passes through the point.

A **Transversal**** **is a line that passes through two or more **Coplanar Lines.**

*Types of Angles:*

1. *Vertical Angles**:* Nonadjacent angles formed by two intersecting lines.

2. *Corresponding Angles*** : **Two angles in the same position with respect to the transversal, but on a different line.

3. *Alternative Interior Angles*** : **Two angles on the interior but on the opposite side if the transversal.

4. *Alternate Exterior Angles*** : **Two angles on the exterior but on the opposite side of the transversal.

5. *Consecutive Interior Angles*** : **Two angles on the interior and on the same side of the transversal.

6. *Consecutive Exterior Angles*** : **Two angles on the exterior and on the same side of the transversal.

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**Hook questions:**

*1. **What is Parallel and Intersecting lines?*

*2. **State Parallel Line and Perpendicular Postulate.*

*3. **What are the types of angles?*

*4. **What is transversal?*

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