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Section1 4

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Section1 4

1. 1. It’s All About the Angles …in Section 1-4…
2. 2. First, Some New Definitions Angle – the union of two distinct rays with a common endpoint Vertex – common endpoint of the 2 rays of an angle D• Notation: DCE ECD OR OR 1 C • 1 C E What is the vertex of this angle? Point C!
3. 3. Several Classifications of Angles L V T P O Acute Angle – measures between 0 and 90 Example: VOL Right Angle – measures 90 Example: LOP Obtuse Angle – measures between 90 and 180 Example: POT
4. 4. More New Definitions Congruent Angles – angles that have equal measures 1= 2 2 1 m 1=m 2 Adjacent Angles – two angles in a plane that have a common vertex and a common side but no common interior points L• V Which angles are • adjacent, and which T angles are not? • P O •
5. 5. More New Definitions Linear Pair – two adjacent angles that form a straight line 1 2 1 and 2 are a linear pair
6. 6. More New Definitions Angle Bisector – a ray that divides an angle into two congruent adjacent angles A • If 1= 2, then 1 B Y • 2 YB is an angle bisector C•
7. 7. Some New Tools Angle Addition Postulate (AAP) – If B lies in the interior of AOC, then m AOB + m BOC = m AOC C • B • A • O
8. 8. Some New Tools Linear Pair Postulate (LPP) – If AOC is a straight angle, and B is any point not on AC, then m AOB + m BOC = 180 B • • • A O C