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Angle Relationships

Angle Relationships. Perpendicular Lines. Special intersecting lines that form right angles. Adjacent Angles. Angles in the same plane that have a common vertex and common side, but no common interior points. Vertical Angles. Two non-adjacent angles formed by two intersecting lines.

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Angle Relationships

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  1. Angle Relationships Perpendicular Lines Special intersecting lines that form right angles Adjacent Angles Angles in the same plane that have a common vertex and common side, but no common interior points Vertical Angles Two non-adjacent angles formed by two intersecting lines

  2. Perpendicular Lines

  3. Angle Relationships Perpendicular Lines Special intersecting lines that form right angles Adjacent Angles Angles in the same plane that have a common vertex and common side, but no common interior points

  4. Adjacent Angles

  5. Angle Relationships Perpendicular Lines Special intersecting lines that form right angles Adjacent Angles Angles in the same plane that have a common vertex and common side, but no common interior points Vertical Angles Two non-adjacent angles formed by two intersecting lines

  6. 1 3 4 2 Vertical Angles

  7. Angle Relationships Linear Pair Adjacent angles whose non-common sides are opposite rays

  8. Linear Pair

  9. Angle Relationships Linear Pair Adjacent angles whose non-common sides are opposite rays Supplementary Angles Two angles whose measures have a sum of 180 degrees

  10. 1 2 Supplementary Angles

  11. Angle Relationships Linear Pair Adjacent angles whose non-common sides are opposite rays Supplementary Angles Two angles whose measures have a sum of 180 degrees Complementary Angles Two angles whose measures have a sum of 90 degrees

  12. Complementary Angles

  13. Angle Relationships Notes Vertical angles are congruent The sum of the measures of the angles in a linear pair is 180 Means perpendicular M N Means M is perpendicular to N

  14. Angle Relationships Notes If a line is perpendicular to a plane, then that line is perpendicular to every line in the plane that it intersects

  15. N M O Q P L From this picture, you CAN assume L, P, and Q are collinear All points shown are coplanar Rays PM, PN, PO, and LQ intersect at P P is between L and Q N is in the interior of angle MPO Angle LPQ is a straight angle

  16. N M O Q P L From this picture, you CANNOT assume Angle QPO is congruent to angle LPM Angle OPN is congruent to angle LPM Ray PN is perpendicular to ray PM Ray LP is congruent to ray PQ Ray PQ is congruent to ray PO Angle QPO is congruent to angle OPN

  17. Angle Relationships Checking for Understanding J G I H K From the picture, find the value of x Angle GIJ = 9x –4 and angle JIH = 4x -11

  18. Angle Relationships Checking for Understanding 3 2 4 1 5 Angle 1 and angle 4 Angle 1 and angle 2 Angle 3 and angle 4 Angle 1 and angle 5

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