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The diagonals of a square are equal and ...

The diagonals of a square are equal and perpendicular to each other.

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State whether the statements are true (T) or (F) false. Diagonals of a rhombus are equal and perpendicular to each other.

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

The diagonals of a square are equal and bisect each other at right angle

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.

Which of the following statements are true and which are false ? The diagonals of a rectangle are perpendicular to each other .

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that the diagonals of a square are equal and bisect each other at right angles.

If the diagonals of a cyclic quadrilateral are perpendicular to each other, show that the line passing through the point of intersection of diagonals and midpoint of a side is perpendicular to the opposite side.

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 ?