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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

A line passes through (6, 0) and (0, 6) and an another line passes through (−3, 0) and (0, −3). What are the points to be joined to get a trapezium? - Mathematics

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Question

A line passes through (6, 0) and (0, 6) and an another line passes through (−3, 0) and (0, −3). What are the points to be joined to get a trapezium?

Sum

Solution

In a trapezium. there are 2 opposite sides that are parallel.

The other opposite sides are non-parallel.

Now, let us approximately plot the points for our understanding

  • Plot the points (0, 6), (6, 0), (−3, 0) and (0, −3)
  • Join (0, 6) and (6, 0)
  • Join (−3, 0) and (0, –3)
  • We find that the lines formed by joining the points are parallel lines.
  • So, for forming a trapezium, we should join (0, 6), (−3, 0) and (0, −3), (6, 0)
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Geometrical Representation of a Linear Equation by Line Parallel to the Coordinate Axes
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Chapter 3: Algebra - Exercise 3.9 [Page 118]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 3 Algebra
Exercise 3.9 | Q 6 | Page 118
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