Parallel and Perpendicular Lines

Tutoring on Parallel and Perpendicular Lines

Learning Objectives:

Understand and apply Parallel and Perpendicular Line Postulates.

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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