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Perimeter and Area of Trapezium

Which of them...

Question

Which of them are not parallelogram?

A)RhombusB) square C)Rectangle D)Trapezium

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Solution

Trapezium is not parellogram.A quadrilateral which has no parallel sides is trapezium.
The other given three are parellogram.

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The two diagonals are not necessarily equal in a

(a) rectangle (b) square

(c) rhombus (d) isoceles trapezium

Q. State whether True or False.
(a) All rectangles are squares.
(b) All rhombuses are parallelograms.
(c) All squares are rhombuses and also rectangles.
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
(g) All parallelograms are trapeziums.
(h) All squares are trapeziums.

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

Q. Which of the following statements is incorrect?
(A) Every parallelogram is a quadrilateral.
(B) Every rectangle is a parallelogram.
(C) Every square is a rectangle.
(D) Every trapezium is a parallelogram.

A = {P a r a l l e l o g r a m s}

B = {S q u a r e, R e c t a n g l e, R h o m b u s, T r a p e z i u m}

B - A

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