Topic 2

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Topic 2

  1. 1. TOPIC 2 <ul><li>LINE & ANGLES II </li></ul><ul><li>(ANGLES ASSOCIATED WITH TRANVERSALS AND PARALLEL LINES) </li></ul>
  2. 2. <ul><li>A tranversal is a straight line that intersect two or more straight line </li></ul><ul><li>The figure shows two parallel lines AC and DF intersected by the tranversal MN </li></ul><ul><li>Parallel line are lines on the same plane that never met, no matter how far </li></ul><ul><li>they extended </li></ul><ul><li>When two lines are intersected by a tranversal,they are parallel if </li></ul><ul><li>a) the corresponding angles are equal </li></ul><ul><li>b) the alternate angles are equal </li></ul><ul><li>c) the sum of interior angles is 180 0 </li></ul>A C D F N M
  3. 3. <ul><li>We can use the knowledge about concept of parallel line related to the topic vector </li></ul><ul><li>especially in addition and subtraction of vector. </li></ul><ul><li>Addition of vector </li></ul><ul><li>For example: </li></ul>The vector is the resultant of the vector and is represented mathematically as . Note that the vector has the same direction and The example above for the addition of vector that is parallel.There are many example that can relate the concept parallel line to addition and subtraction of vector.
  4. 4. <ul><li>Example 2 </li></ul><ul><li>In the diagram , PQRS is a trapezium with PQ parallel to SR . Given that </li></ul>P Q R S S
  5. 5. <ul><li>Solution: </li></ul>PQ and SR are parallel Magnitude of the resultant vector and

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