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Opposite Sides of a Parallelogram Are Equal

A quadrilater...

Question

A quadrilateral with four congruent sides and four congruent angles is:

A

Rectangle

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B

Rhombus

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C

Square

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D

Trapezium

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Solution

The correct option is C
Square

Square

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Similar questions

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. A quadrilateral whose each angle is a right angle and whose all sides are equal is a

(a) square
(b) rectangle
(c) rhombus
(d) parallelogram

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 134
Of the four quadrilaterals - square, rectangle, rhombus and trapezium - one is somewhat different from the others because of its design. Find it and give justification.

Q. Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ........................
(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................ (square, rectangle, trapezium)

(iii) A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. (perpendicular to parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a .................
(rectangle, square, rhombus)

(v) Consecutive angles of a parallelogram are ...................
(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............
(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ....................
(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..................
(kite, rhombus, square)

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