CHAPTER 6 LINES AND ANGLES
Line segment: A line segment is a line with two end points. Ray: A part of the line with one end point is called a ray. Collinear points: If three or more points lie on the same line, they are called collinear points Noncollinear points: If three or more points do not lie on the same line they are said to be noncollinear. Angle: An angle is formed when two rays originate from the same end point. Arms: The arms of an angle are the rays that make the angle. Vertex: The end point at which the rays making the angle meet is called the vertex.
TYPES OF ANGLE: Acute angle: An angle measuring between 0^{o} and 90^{o} is an acute angle. Right angle: An angle equal to 90^{o} is called a right angle. Obtuse angle: An angle measuring greater than 90^{o}but less than 180^{o} is called an obtuse angle. Reflex angle: An angle measuring greater than 180^{0} but less than 360^{0} is called a reflex angle. Complementary angles: Two angles whose sum is 90^{o} are called complementary angles. Supplementary angles: Two angles whose sum is 180^{o} are called supplementary angles.
AXIOMS AND THEOREMS
Linear pair axioms: Axiom 1: If a ray stands on a line, then the sum of two adjacent angles so formed is 180^{o}. Axiom 2: If the sum of two adjacent angles is 180^{o}, then the noncommon arms of the angles form a line.
Corresponding angles axiom: Axiom 3: If a transversal intersects two parallel lines, then each pair of corresponding angles is equal. Axiom 4: If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.
Theorems:
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