PARALLEL LINES, TRANSVERSAL & LINE RS

• Parallel lines


  Lines that do not intersect
• Perpendicular lines


  Lines that intersect at a right angle (90 degrees)
• Transversal


  A third line that intersects two parallel lines
• Types of angles formed by parallel lines and a transversal

  • Interior angles
  • Exterior angles
  • Alternate interior angles
  • Alternate exterior angles
  • Corresponding angles
  • Consecutive interior angles
  • Vertical angles
• Alternate interior angles


  Angles on the interior of the parallel lines that are on opposite sides of the transversal
• Alternate exterior angles


  Angles on the exterior of the parallel lines that are on opposite sides of the transversal
• Corresponding angles


  Angles that are in the same position relative to the parallel lines and transversal
• Consecutive interior angles


  Angles on the interior of the parallel lines that are next to each other
• Vertical angles


  Angles formed when two lines intersect
• Complementary angles


  Angles that add up to 90 degrees
• Supplementary angles


  Angles that add up to 180 degrees
• Angle


  A geometric figure formed by two intersecting lines or two planes
• The sum of the interior angles of a triangle is 180 degrees
• The sum of the interior angles of a quadrilateral is 360 degrees
• The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees
• Parallel lines intersected by a transversal create angles with specific relationships
• To find the value of the variable, set equal expressions for congruent angles and solve for the variable
• The distance between two parallel lines is the same.
• When two or more parallel lines are cut by another line called as transversal, we have an intersection point on both sides of the transversal
• A transversal is any line that intersects more than one other line at different points
• Corresponding angles are pairs of angles that lie on opposite sides of the transversal and correspond to each other
• Corresponding Angles: Two angles that lie on opposite sides of the transversal and correspond to each other