Points \(A(5,3)\), \(B(-2,3)\) and \(D(5,-4)\) are three vertices of a square \(ABCD\). Plot these points on a graph paper and hence find the coordinates of the vertex \(C\).
\(C(-2,-4)\)
Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
\((0,0)\), \((-5,0)\), \((0,-3)\)
Plot the points \(P(1,0)\), \(Q(4,0)\) and \(S(1,3)\). Find the coordinates of the point \(R\) such that \(PQRS\) is a square.
\(R(4,3)\)
From the Fig. 3.8, answer the following:
(i) Write the points whose abscissa is 0.
(ii) Write the points whose ordinate is 0.
(iii) Write the points whose abscissa is \(-5\).
(i) A, L and O
(ii) G, I and O
(iii) D and H
Plot the points \(A(1,-1)\) and \(B(4,5)\).
(i) Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
(ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
(i) \((2,1)\)
(ii) \((5,7)\)