Math Tutoring on Parallel and Perpendicular 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.
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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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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