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# Line & Angles 1

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### Line & Angles 1

1. 1. <ul><li>Form 1: Lines and Angles 1 </li></ul><ul><li>In this chapter, students will be exposed to </li></ul><ul><li>parallel and perpendicular lines. These two </li></ul><ul><li>concept of lines are very important in </li></ul><ul><li>Mathematics. Now let us look how parallel </li></ul><ul><li>and perpendicular lines are determined. </li></ul>
2. 2. <ul><li>Parallel Lines </li></ul><ul><li>Two straight lines are parallel if: </li></ul><ul><ul><li>They do not meet and intersect one another. </li></ul></ul><ul><ul><li>They are the same distance apart all along their lengths. </li></ul></ul>
3. 3. <ul><li>From the diagram above, we know that, </li></ul><ul><li>MN is parallel to OP </li></ul><ul><li>WX is parallel to YZ </li></ul><ul><li>The perpendicular distance between two parallel lines XY and YZ is always the same. </li></ul>N P Y W O M X Z
4. 4. <ul><li>Perpendicular Lines </li></ul><ul><li>Perpendicular lines are the straight lines that </li></ul><ul><li>Intersect at a right angle ( 90 o ). Diagram below </li></ul><ul><li>can give you better clarification. </li></ul>Line AB is perpendicular to CD and vice versa. C D B A
5. 5. <ul><li>The concept of parallel line is very important in </li></ul><ul><li>Vector Chapter in Additional Mathematics. Let’s </li></ul><ul><li>look at the example below and see how the </li></ul><ul><li>concept of parallel line is applied in vector. The </li></ul><ul><li>example below is taken from the subtopic of </li></ul><ul><li>subtracting two vectors. </li></ul>
6. 6. <ul><li>Example; </li></ul><ul><li>In the diagram, . A vector parallel to is </li></ul><ul><li>given as , find </li></ul><ul><li>If and hence, draw the </li></ul><ul><li>vector . </li></ul><ul><li>if and hence, draw the </li></ul><ul><li>vector . </li></ul>2p Q P
7. 7. <ul><li>a) </li></ul><ul><li>b) </li></ul>p N M V W -2p
8. 8. <ul><li>Point To Be Noted </li></ul><ul><li>For the students to answer the vector question above, they need to have the knowledge about the parallel line concepts. If not they will not be able to draw the line correctly because parallel line has its own characteristics. </li></ul>