(i) Sides AM and MP are perpendicular. (ii) Side AM is parallel to the x-axis. (iii) Points M(–5, –2) and P (–5, 2) are mirror images across the x-axis. Plotting verifies these geometric relationships.
Consider the points R (3, 0), A (0, – 2), M (– 5, – 2) and P (– 5, 2). If they are joined in the same order, predict: (i) Two sides of RAMP that are perpendicular to each other. (ii) One side of RAMP that is parallel to one of the axes. (iii) Two points that are mirror images of each other in one axis. Which axis will this be? Now plot the points and verify your predictions.
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By analyzing the coordinates, we can predict that: (i) AM is horizontal (y = –2) and MP is vertical (x = –5), making them perpendicular. (ii) Side AM is parallel to the x-axis because its y-coordinates are constant. (iii) Points M(–5, –2) and P(–5, 2) have the same x-value but opposite y-values, making them mirror images across the x-axis. Plotting these points on a Cartesian plane confirms that RAMP forms a quadrilateral with these properties.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/