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Perimeter and Area of Trapezium

Draw a quadri...

Question

Draw a quadrilateral with equal diagonals, which is not a rectangle.

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Solution

There are three types of quadrilaterals in which the diagonals are equal. These are square, rectangle and isosceles trapezium.

A square is a special kind of rectangle. So, a quadrilateral with equal diagonals and which is not a rectangle is an isosceles trapezium.

The below given figure shows an isosceles trapezium, PQRS with equal diagonals, PR = QS.

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Similar questions

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if

(a) ABCD is a parallelogram

(b) ABCD is a rectangle

(c) diagonals of ABCD are equal

(d) diagonals of ABCD are perpendicular to each other

If diagonals of a quadrilateral are equal, then it will be a rectangle.

Q. Fill in the blanks:
(i) A quadrilateral with all sides and all angles equal is a .............
(ii) A quadrilateral with four equal sides and no right angles can be called a...................
(iii) A quadrilateral with exactly two sides parallel is a......................
(iv) The diagonals of this quadrilateral are equal but not perpendicular. The quadrilateral is a.............
(v) All rectangles, squares and rhombus are ............,but a trapezium is not.

Q. Question 4
The quadrilateral formed by joining the mid – points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
(A) PQRS is a rectangle
(B) PQRS is a parallelogram
(C) diagonals of PQRS are perpendicular
(D) diagonals of PQRS are equal

Q. Question 17
A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___.
a) Rhombus
b) Parallelogram
c) Square
d) Rectangle

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Perimeter and Area of Trapezium

Standard VIII Mathematics

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