If the diagonals of a parallelogram are perpendicular; then it is a rhombus.

Write the following statements in symbolic form and write their negatins : (1) Mangoes are delicious, but expensive. (2) A person is rich if and only if he is a software engineer. (3) If diagonals of a parallelogram are perpendicular, then it is a rhombus. solution :

Consider the following statements : 1. If the diagonals of a parallelogram ABCD are perpendicular , then ABCD may be a rhombus. 2. If the diagonals of a quadrilateral ABCD are equal and perpendicular , then ABCD is a square. Which of the statements given above is/are correct ?

The diagonals of a parallelogram are not perpendicular.Is it a rhombus? Why or why not?

The diagonals of a rhombus are perpendicular to each other.

if diagonals of a parallelogram bisect each other,prove that its a rhombus

The diagonals of a rhombus

Using analytical geometry,prove that the diagonals of a rhombus are perpendicular to each other.

Show that the diagonals of a rhombus are perpendicular to each other

Which of the following statements are true and which are false? (a) The diagonals of a parallelogram are equal. (b) The diagonals of a rectangle are perpendicular to each other. ( c) The diagonals of a rhombus are equal.