Angle Relationships.

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Presentation transcript:

Angle Relationships

Adjacent angles Angles in the same plane that have a common vertex and a common side, but no common interior points. 1 Common side! 2 Common vertex

two nonadjacent angles formed by two intersecting lines Vertical angles two nonadjacent angles formed by two intersecting lines Vertical angles are congruent. 4 3

Linear pair adjacent angles whose noncommon sides are opposite rays The sum of the measures of the angles in a linear pair is 180. 5 6

Symbol: Perpendicular lines Special intersecting lines that form right angles (90º) Perpendicular lines intersect to form 4 right angles.

Symbols: Parallel Lines Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. Remember: Always the same distance apart and never touching. Side Note: No angles are formed when you only have parallel lines! No touching=no angles!

Supplementary angles – 2 angles whose measures have a sum of 180º Complementary angles – 2 angles whose measures have a sum of 90º Form a Linear Pair!