(i) Right-angled isosceles: O (0, 0), A (5, 0), B (0, 5). (ii) Isosceles: O (0, 0), P (–3, –4) in Quadrant III and Q (3, –4) in Quadrant IV. Both triangles have two equal side lengths.
Using the origin as one vertex, plot the vertices of: (i) A right-angled isosceles triangle. (ii) An isosceles triangle with one vertex in Quadrant III and the other in Quadrant IV.
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(i) To form a right-angled isosceles triangle, use origin O (0, 0) as the vertex. Place A at (5, 0) and B at (0, 5) to create equal sides of 5 units along the axes. (ii) For the second triangle, use O (0, 0) as the top vertex. Place P at (–3, –4) in Quadrant III and Q at (3, –4) in Quadrant IV. Both P and Q are 5 units from the origin, ensuring the triangle is isosceles.
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/