Show that the following points are the vertices of a rectangle :
(i) `A(4, 2), B(0, -4), C(-3, -2), D(1, 4)`
(ii) `A(1,-1), B(-2, 2), C(4, 8), D(7, 5)`

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

Prove that the points A(0,-1),B(-2,3),C(6,7) and D(8,3) are the vertices of a rectangle ABCD .

Show that the points A(1,3),B(2,6),C(5,7) and D(4,4) are the vertices of a rhombus .

The vertices of the rectangle ABCD are A(-1, 0), B(2, 0), C(a, b) and D(-1, 4) Then, the length of the diagonal AC is

Find the area of the quadrilateral whose vertices are A(1,1),B(3,4),C(5,-2) and D(4,-7)

Match the following and choose the correct combination from the options given : (a) {:(A, B, C, D),(3 , 1, 5, 4):} (b) {:(A, B, C, D),(1, 2, 3, 4):} (c) {:(A, B, C, D),(2, 1, 3, 4):} (d) {:(A, B, C, D),(3, 1, 5, 2):}