DAV Class 8 Maths Chapter 13 HOTS
Introduction to Graphs HOTS
1. On a Cartesian plane, plot the given points A(1, 1), B(5, 1), C(5, 5), and D(1, 5). Join the points in order.
(a) What figure do you get?
Answer A square.
Scale:
x-axis: 1 unit = 1 unit
y-axis: 1 unit = 1 unit
(b) Write coordinates of the point of intersection of the diagonals.
Answer The diagonals intersect at O(3, 3).
(c) Are the diagonals equal? Do they intersect each other at right angles?
Answer Yes, the diagonals are equal and intersect at right angles.
2. On a cartesian plane, draw a square whose point of intersection of the diagonals is (8, 3) and one vertex is (6, 1).
Answer
Scale:
x-axis: 1 unit = 1 unit
y-axis: 1 unit = 1 unit