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Transcript
Angle Relationships
We will learn how certain pairs of angles are related.
We will learn about perpendicular lines.
Angle pairs:
1. Adjacent angles ­ two angles that lie in the same plane, have a common vertex and a common side but share no interior points (they're next to each other).
2. Vertical angles ­ two nonadjacent angles formed by intersecting lines (they're directly across from each other).
3. Linear pair ­ a pair of adjacent angles whose noncommon sides are opposite rays (they form a straight line).
4. Complementary angles ­ two angles whose measures have a sum of 90.
5. Supplementary angles ­ two angles whose measures have a sum of 180.
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Examples:
Adjacent angles
Vertical angles
Linear pair
Examples:
Complementary angles
Supplementary angles
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Perpendicular lines
• intersect to form 4 right angles
• intersect to form congruent adjacent angles
• segments and rays can be perpendicular to lines or to other line segments and rays
• the symbol for perpendicular lines is Perpendicular line example
Example problems:
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Example problems:
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