A guide to definitions of lines and angles for students of M.Sc in applied mathematics, secondary level.
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LINES AND ANGLES FOR SECONDERY LEVEL M.Sc in Applied Mathematics(B.U)
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LINES AND ANGLES 0 INTRODUCTION BASIC TERMS AND DEFINITION O 0 INTERSECTING LINES AND NON- INTERSECTING LINES PARALLEL AND PERPENDICULAR LINES O ANGLES O
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INTRODUCTION o In geometry the lines and angles are important tools, If any object in ideal , that is called as line and it is represented as straight curve. The angle is related with line that is the cross section of two lines is create the angle and that intersection point is called vertex.
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S AND DEFINITION LINE - A straight path extending in both directions with no endpoints. •LINE SEGMENT - A part of a line includes two end points and all the points between them. 'RAY- A part of a line with one endpoint , that continues without end in one direction.
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RSECTING AN INTERSECTING LINES 0 INTERSECTING LINES - Lines that cross NON-INTERSECTING O LINES - Lines that never cross and are always the same distance apart
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PAR-ÄCCÉÄÖPÉRPENDIC LINES PARALLEL LINES - O Two lines that never cross AR [email protected] PERPENDICULAR LINES - two lines that intersect to form four right angles
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ANGLES o In geometry, an angle is the figure formed by two rays sharing a common endpoint , called the vertex of the angle. The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the others.
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TYPES OF ANGLES O O O There are so many types of angles. Such as: ACUTE ANGLE OBTUSE ANGLE RIGHT ANGLE STRAIGHT ANGLE REFLEX ANGLE ADJACENT ANGLE LINEAR PAIR OF ANGLES COMPLEMENTARY AND SUPPLEMENTARY ANGLES
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ACUTE AND OBTUSE ANGLE ACUTE ANGLE -The measure of an angle with a measure between 00 and 900 or with less than 900
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RIGHT AND STRAIGHT ANGLES RIGHT ANGLE - an angle formed by the O perpendicular intersection of two strai ht lines; an angle of 900. 900 STRAIGHT ANGLE -a straight O angle changes the direction to point the opposite way and it measures 1800 Straight angle 1800
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REFLEX ANGLE An angle is more than 1800 but less than O 3600 is called reflex angle, >1800 < 3600
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ADJACENT ANGLES Two angles are adjacent when they have a common side and a common vertex(corner point), and don't overlap. Here B is the common vertex and BC is the common side which are not overlap. 220 390
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LINEAR PAIR OF ANGLES A pair of adjacent angles formed by intersecting lines. Linear pairs of angles are supplementary. A + B = 100 A B
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c PLEMENTARY SUPPLEMENTARY ANGLES o If the sum of the two angles are 900 then it is called complementary angles, + < B = 900 o If the sum of the two angles are 1800 then it is called supplementary angles. (A + (B = 1800
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