Yes, it is a square. All four sides (AB, BC, CD, DA) equal the square root of 10. Both diagonals (AC and BD) equal the square root of 20. The total area is 10.
Plot the points A (2, 1), B (–1, 2), C (–2, –1) and D (1, –2) in the coordinate plane. Is ABCD a square? Can you explain why? What is the area of this square?
Share
By calculating the distances between the points, we find that all four sides are equal to the square root of 10 units. To confirm it is a square, we check the diagonals: both AC and BD are equal to the square root of 20 units. Since all sides are equal and both diagonals are equal, ABCD is a perfect square. The area is calculated by squaring the side length, which gives a total of 10 square 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/