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Diagonal of a Quadrilateral

The diagonals...

Question

The diagonals of a rectangle

A

are unequal

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B

are equal

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C

bisect each other

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D

are equal and bisect each other

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Prove that the diagonals of a rectangle bisect each other and are equal.

Q. Which of the following statements are true for a rectangle?
(i) It has two pairs of equal sides.
(ii) It has all its sides of equal length.
(iii) Its diagonals are equal.
(iv) Its diagonals bisect each other.
(v) Its diagonals are perpendicular.
(vi) Its diagonals are perpendicular and bisect each other.
(vii) Its diagonals are equal and bisect each other.
(viii) Its diagonals are equal and perpendicular, and bisect each other.
(ix) All rectangles are squares.
(x) All rhombuses are parallelograms.
(xi) All squares are rhombuses and also rectangles.
(xii) All squares are not parallelograms.

Q. Answer the tick ones
1. Which of the following statements are true for a rectangle?
(i) It has two pairs of equal sides.
(ii)It has all its sides of equal length.
(iii) Its diagonal are equals.
(iv) Its diagonals bisect each other.
(v) Its diagonals are perpendicular.
(vi) Its diagonals are perpendicular and bisect each other.
(vii) Its diagonals are equal and bisect each other.
(viii)lts diagonals are equal and perpendicular, and bisect each other .
(ix) All rectangles are Squares.
(x) All rhombuses are parallelograms.
(xi)All squares are rhombuses and also rectangles.
(xii) All squares are not parallelograms.
2. Which of the following statements are true for a square?
(i) It is a rectangle.
(ii) It has all its sides of equal length.

Give a special name to each of the following quadrilaterals

a. It's diagonals are equal, perpendicular and bisect each other

b. It's diagonals are equal and bisect each other

diagonals of rhombus bisect each other and are equal?

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