1.5 Angle Relationships
Objective <ul><li>Identify and use special pairs of angles. </li></ul><ul><li>Identify Perpendicular lines. </li></ul>
Adjacent Angles <ul><li>Adjacent angles are two angles that lie in the same plane, have a common vertex and a common side,...
Vertical Angles <ul><li>Vertical Angles  are two nonadjacent angles formed by two intersecting lines. </li></ul>
Vertical Angles <ul><li>Vertical Angles  are congruent. </li></ul>
Linear Pair <ul><li>A  linear pair  is a pair of adjacent angles with noncommon sides that are opposite rays. </li></ul>
Example <ul><li>Name two angles that form a linear pair, and two acute vertical angles. </li></ul>
Angle Relationships <ul><li>Complimentary Angles  are two angles with measures that have a sum of 90. </li></ul><ul><li>Su...
Perpendicular Lines <ul><li>Perpendicular lines  intersect to form four right angles. </li></ul><ul><li>Perpendicular line...
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Section 5

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Section 5

  1. 1. 1.5 Angle Relationships
  2. 2. Objective <ul><li>Identify and use special pairs of angles. </li></ul><ul><li>Identify Perpendicular lines. </li></ul>
  3. 3. Adjacent Angles <ul><li>Adjacent angles are two angles that lie in the same plane, have a common vertex and a common side, but no common interior points. </li></ul>
  4. 4. Vertical Angles <ul><li>Vertical Angles are two nonadjacent angles formed by two intersecting lines. </li></ul>
  5. 5. Vertical Angles <ul><li>Vertical Angles are congruent. </li></ul>
  6. 6. Linear Pair <ul><li>A linear pair is a pair of adjacent angles with noncommon sides that are opposite rays. </li></ul>
  7. 7. Example <ul><li>Name two angles that form a linear pair, and two acute vertical angles. </li></ul>
  8. 8. Angle Relationships <ul><li>Complimentary Angles are two angles with measures that have a sum of 90. </li></ul><ul><li>Supplementary Angles are two angles with measures that have a sum of 180. </li></ul>
  9. 9. Perpendicular Lines <ul><li>Perpendicular lines intersect to form four right angles. </li></ul><ul><li>Perpendicular lines intersect to form congruent adjacent angles. </li></ul><ul><li>Segments and rays can be perpendicular to lines or to other line segments and rays. </li></ul><ul><li>The right angle symbol in the figure indicates that the lines are perpendicular. </li></ul>
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