Fill up :

Opposite sides of rectangles are ___

Assertion : For the given figure , x+y=14 and x-y=30 Reason : Opposite sides of the rectangle are equal.

Say True or False : (a) Each angle of a rectangle is a right angle. (b) The opposite sides of a rectangle are equal in length. (c) The diagonals of a square are perpendicular to one another. (d) All the sides of a rhombus are of equal length. (e) All the sides of a parallelogram are of equal length. (f) The opposite sides of a trapezium are parallel.

A pair of opposite sides of a trapezium are ___________.

Show that the points (3, 1, 4), (6, 4, 4), (8, 2, 4) and (5, -1, 4) are the vertices of a rectangle. [Hint : Opposite sides and diagonals of rectangle are equal.]

What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle? (a) 1 : 2 (b) 2 : 1 (c) 3 : 1 (d) Data inadequate (e) None of these

The area of a trapezium formed by increasing one longer side of a rectangle and joining it with opposite side is 42 cm^2 . If the sides of rectangle are 4 cm and 9 cm respectively, thenn the length is increased by (A) 3 cm (B) 4 cm (C) 5 cm (D) None

Given below are two pairs of statements. Combine these two statements using if and only if: p: if a rectangle is a square,then all its four sides are equal.q: if akll the four sides of a rectangle are equal,then the rectangle is a square

The perimeter of a rectangle and an equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the triangle is