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Point W has x-coordinate equal to – 5. Can you predict the coordinates of point H which is on the line through W parallel to the y-axis? Which quadrants can H lie in?
Any line parallel to the vertical y-axis consists of points that all share the same x-coordinate. Since point W has an x-coordinate of –5, any point H on this parallel line must also have an x-coordinate of –5, resulting in coordinates of the form (–5, y). Depending on the value of y, point H will lRead more
Any line parallel to the vertical y-axis consists of points that all share the same x-coordinate. Since point W has an x-coordinate of –5, any point H on this parallel line must also have an x-coordinate of –5, resulting in coordinates of the form (–5, y). Depending on the value of y, point H will lie in Quadrant II if the y-coordinate is positive or in Quadrant III if it is negative.
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/
See lessWhat are the x-coordinate and y-coordinate of the point of intersection of the two.
In a 2-D Cartesian coordinate system, the position of any point is determined by two perpendicular lines. The horizontal line is the x-axis and the vertical line is the y-axis. These two axes cross each other at a unique point known as the origin. At the origin, no distance has been moved along eithRead more
In a 2-D Cartesian coordinate system, the position of any point is determined by two perpendicular lines. The horizontal line is the x-axis and the vertical line is the y-axis. These two axes cross each other at a unique point known as the origin. At the origin, no distance has been moved along either axis, so the x-coordinate and y-coordinate are both 0, represented as (0, 0).
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/
See lessWould these observations be the same if ΔADM is reflected in the x-axis (instead of the y-axis)?
The core principles of reflection remain consistent, but the results would be mirrored vertically. If reflected across the x-axis, all x-coordinates of the triangle's vertices would remain unchanged, while all y-coordinates would switch to their opposites (positive to negative). The size and shape wRead more
The core principles of reflection remain consistent, but the results would be mirrored vertically. If reflected across the x-axis, all x-coordinates of the triangle’s vertices would remain unchanged, while all y-coordinates would switch to their opposites (positive to negative). The size and shape would still be preserved, but the triangle would appear upside down compared to its original position, rather than flipped left-to-right as it was in the y-axis reflection.
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/
See lessPlot point Z (5, – 6) on the Cartesian plane. Construct a right-angled triangle IZN and find the lengths of the three sides. (Comment: Answers may differ from person to person.)
After plotting Z (5, –6) in the fourth quadrant, we construct a right-angled triangle using points I (5, 0) on the x-axis and N (0, 0) at the origin. The vertical side IZ has a length of 6 units, and the horizontal side IN is 5 units. Using the Baudhāyana-Pythagoras Theorem, the hypotenuse ZN lengthRead more
After plotting Z (5, –6) in the fourth quadrant, we construct a right-angled triangle using points I (5, 0) on the x-axis and N (0, 0) at the origin. The vertical side IZ has a length of 6 units, and the horizontal side IN is 5 units. Using the Baudhāyana-Pythagoras Theorem, the hypotenuse ZN length is calculated as the square root of (5 squared plus –6 squared), which equals the square root of 61 units.
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/
See lessConsider 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.
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, makRead more
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/
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