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. (2 marks)

Open in App

Solution

Take a point C on the graph such that ABCD is a square i.e all sides AB, BC, CD and AD are equal. So, the abscissa of C should be equal to the abscissa of B i.e -2 and ordinate of C should be equal to the ordinate of D. i.e -4.
Hence, the coordinates of C are (-2, - 4).
(1 mark)
The graph obtained by plotting the points A, B and C and D is given below.

(1 mark)

Suggest Corrections

Similar questions

Q. The three vertices of a square ABCD are A(3, 2) B(−2, 2) and D(3, −3). Plot these points on a graph paper and hence, find the coordinates of C. Also, find the area of square ABCD.

Q. Three vertices of a rectangle ABCD are A(3, 1), B(–3, 1) and C(–3, 3). Plot these points on a graph paper and find the coordinates of the fourth vertex D. Also, find the area of rectangle ABCD.

Q. Points

A (5, 3), B (- 2, 3)

and

D (5, - 4)

are three vertices of a square

A B C D

. Plot these points on the graph paper and hence find the coordinates of the vertex

C

Q. Points A(2, 3) B(-3, 3) and D(2, -2) are three vertices of a square ABCD. Plot these points on a graph paper and hence, find the coordinates of the vertex C.

Question 1
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.

Join BYJU'S Learning Program