Perpendicular Lines/Rays
What are perpendicular lines?Perpendicular lines are two lines that intersect to form a right angle.
transversal
-a line that intersects two or more coplanar lines at two or more distinct points.
Parallel Lines Cut by a transversal
The angles formed by the transversal with the two other lines can be identified as follows:
Exterior angle
- an angle that forms a linear pair with one of the angles of a polygon.
Angles 1,2,7,8 are exterior angles
Interior Angle
- an angle formed inside the perpendicular lines cut by a transversal
Angles 3,4,6,5 are interior angles
Corresponding Angles
- an interior angle and exterior angle that are nonadjacent and on the same side of the transversal.
Angles 2 and 6, 1 and 5, 3 and 7, 4 and 8
Alternate Interior Angles
-a pair of nonadjacent interior angles that are on opposite sides of a transversal.
Angles 3 and 5, 4 and 6
Alternate Exterior Angles
- a pair of nonadjacent exterior angles that are on opposite sides of a transversal.
Angles 2 and 8, 1 and 7