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Line Relationships:

Line Relationships:. Intersecting Lines. Lines in a plane that intersect, or cross each other. Plane. Extends infinitely in all directions in two dimensions and has no thickness. Perpendicular Lines. Lines that intersect at a right angle. Symbol for perpendicular lines :

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Line Relationships:

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  1. Line Relationships:

  2. Intersecting Lines • Lines in a plane that intersect, or cross each other.

  3. Plane • Extends infinitely in all directions in two dimensions and has no thickness.

  4. Perpendicular Lines • Lines that intersect at a right angle. Symbol for perpendicular lines : Symbol for not perpendicular:

  5. Parallel Lines • Lines that lie in the same plane and do not intersect no matter how far they extend. Symbol for parallel lines: Symbol for not parallel:

  6. Coplanar Lines • Lines that lie in the same plane.

  7. Skew Lines • Lines that do not lie in the same plane (therefore, they cannot be parallel or intersect).

  8. Coincidental Lines • Lines that have equivalent linear equations and overlap at every point when they are graphed.

  9. Angle relationships

  10. Adjacent Angles • Angles in the same plane that have a common vertex and a common side, but no common interior points.

  11. Vertical Angles • Nonadjacent angles formed by two intersecting lines or segments. They are also called opposite angles.

  12. Supplementary Angles • Angles whose sum is 180 degrees.

  13. Linear Pair of Angles • Or linear pair, consists of two adjacent angles that form a straight line.

  14. Congruent • Having the same size, shape and measure. Two figures are congruent if all of their corresponding measures are equal.

  15. Lines and Angles related to parallel lines cut by a transversal:

  16. Transversal • A line that intersects two or more lines.

  17. Alternate Interior Angles • Alternate interior angles are angles formed when a line (a transversal) intersects two other lines. These angles are on opposite sides of the transversal and are in between the other two lines. When the two other lines are parallel, the alternate interior angles are equal.

  18. Alternate Exterior Angles • Alternate exterior angles are pairs of angles formed when a line (a transversal) crosses two other lines. These angles are on opposite sides of the transversal and are outside the other two lines. When the two other lines are parallel, the alternate exterior angles are equal.

  19. Same-Side Interior Angles • Angles formed when a line (a transversal) intersects two other lines. These angles are on the same side of the transversal and are between the other two lines. When the two other lines are parallel, same- side interior angles are supplementary.

  20. Same-Side Exterior Angles • Pairs of angles formed when a line (a transversal) intersects two other lines. These angles are on the same side of the transversal and are outside the other two lines. When the two other lines are parallel, same- side exterior angles are supplementary.

  21. Corresponding Angles • Angles that have the same relative positions in geometric figures.

  22. Complementary Angles • Two angles whose sum is 90 degrees.

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