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Parallel Line and Angles. Parallel Lines. Parallel Lines are lines that never intersect. Two lines are parallel if and only if they have the same slope. Always the same distance apart and never touching . Indicates that lines are parallel. Pairs of Angles.

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parallel lines
Parallel Lines
  • Parallel Lines are lines that never intersect. Two lines are parallel if and only if they have the same slope.
  • Always the same distance apart and never touching.

Indicates that lines

are parallel

pairs of angles
Pairs of Angles
  • When parallel lines get crossed by another line (which is called a transversal), you can see that many angles are the same.
  • These angles can be made into pairs of angles which have special names.
  • Corresponding
  • Alternate Interior
  • Alternate Exterior
  • Vertical
corresponding angles
Corresponding Angles
  • For any pair of parallel lines that are both intersected by a third line form CORRESPONDING ANGLES.
  • Angle A and angle C are called corresponding angles.
  • Corresponding angles have the same degree measurement.
  • Angle B and angle D are also corresponding angles.
alternate interior angles
Alternate Interior Angles
  • For any pair of parallel lines that are both intersected by a third line form ALTERNATE INTERIOR ANGLES.
  • Angle A and angle D are called alternate interior angles.
  • Alternate interior angles have the same degree measurement.
  • Angle B and angle C are also alternate interior angles.
alternate exterior angles
Alternate Exterior Angles
  • For any pair of parallel lines that are both intersected by a third line forms ALTERNATE EXTERIOR ANGLES.
  • Angle A and angle D are called alternate exterior angles.
  • Alternate exterior angles have the same degree measurement.
  • Angle B and angle C are also alternate exterior angles.
vertical angles
Vertical Angles
  • For any two lines that meet, such as in the diagram below, angle AEB and angle DEC are called vertical angles.
  • Vertical angles have the same degree measurement.
  • Angle BEC and angle AED are also vertical angles.
name these angles
Name these Angles
  • Corresponding Angles:
  • Alternate Interior Angles:
  • Alternate Exterior Angles:
  • Vertical Angles: