CHECK THE TYPE OF QUADRILATERAL FROM GIVEN POINTS WORKSHEET

Problem 1 :

The vertices of a quadrilateral are K(-1, 0), L(1, -2), M(4, 1) and N(2, 3). Verify that 

a) KLMN is a rectangle.

b) The lengths of the diagonals of KLMN are equal.

Solution

Problem 2 :

The vertices of a quadrilateral are A(0, 0), B(2, 3), C(5, 1) and D(3, -2).

a)  Check the type of quadrilateral

b) Verify that the diagonals of ABCD are perpendicular to each other. 

Solution

Problem 3 :

Verify that the quadrilateral with vertices O(0, 0), P(3, 5), Q(13, 7) and R(5, 1) is a trapezoid.

Solution

Problem 4 :

Verify that the quadrilateral with vertices P(-2, 2), Q(-2, -3), R(-5, -5) and S(-5, 0) is a parallelogram.

Solution

Problem 5 :

A quadrilateral has vertices K(-1, 4), L(2, 2), M(0, -1) and N(-3, 1). Verify that :

a) The quadrilateral is a square.

b) Each diagonal of the quadrilateral is the perpendicular bisector of the other diagonal.

c) The diagonals are equal in length.

Solution

Problem 1 :

Verify that the quadrilateral with vertices P(-2, 2), Q(-2, -3), R(-5, -5) and S(-5, 0) is a parallelogram.

Solution

Problem 2 :

A quadrilateral has vertices K(-1, 4), L(2, 2), M(0, -1) and N(-3, 1). Verify that :

a) The quadrilateral is a square.

b) Each diagonal of the quadrilateral is the perpendicular bisector of the other diagonal.

c) The diagonals are equal in length.

Solution