Q29 of 149 Page 14

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

Vertices of a quadrilateral are A(5,6), B(1,5), C(2,1) and D(6,2).

Using distance formula =

AB = = = units

BC = = = units

CD = = = units

DA = = = units

AB = BC = CD = DA

BD = = = units

AC = = = units

All the four sides of the quadrilateral are equal and diagonals are of equal length. Therefore, the given vertices form a square.

Find the coordinates of the circumcentre of the triangle whose vertices are (3, 0), (-1, -6) and (4,-1). Also, find its circumradius.

Find a point on the x-axis which is equidistant from the points (7, 6) and (-3, 4).

Prove that the points A (2, 3), B (-2, 2), C (-1, -2), and D (3, -1) are the vertices of a square ABCD.

Find the point on x-axis which is equidistant from the points (-2, 5) and (2,-3).