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Alexander the Great

Read the give...

Question

Read the given statements and answer the following question.
(i) A triangle is a quadrilateral.
(ii) There are 4 sides in a quadrilateral.
(iii) A square is a quadrilateral.
How many of the above statements are correct?

A

2

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B

0

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C

3

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D

1

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Solution

The correct option is A 2
A quadrilateral is a closed 2D shape that has four sides. Statement (ii) is correct.
A triangle has 3 sides. Hence, it is not a quadrilateral. Statement (i) is incorrect.
A square has 4 sides. Hence, it is a quadrilateral. Statement (iii) is correct.
Hence, two of the given statements are correct.

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Similar questions

Q. How many diagonals does each of the following have?
(i) A convex quadrilateral
(ii) A regular hexagon
(iii) A triangle

Which of the following sentences are statements? Give reasons for your answer.

(i) There are 35 days in a month.

(ii) Mathematics is difficult.

(iii) The sum of 5 and 7 is greater than 10.

(iv) The square of a number is an even number.

(v) The sides of a quadrilateral have equal length.

(vi) Answer this question.

(vii) The product of (–1) and 8 is 8.

(viii) The sum of all interior angles of a triangle is 180°.

(ix) Today is a windy day.

(x) All real numbers are complex numbers.

Q. Which of the following sentences are statements? Give reasons for your answer
(i) There are

35

days in a month
(ii) Mathematics is difficult
(iii) The sum of

5

7

is greater than

10

(iv) The square of a number is an even number
(v) The sides of a quadrilateral have equal length
(vi) Answer this question
(vii) The product of

(- 1)

8

8

(viii) The sum of all interior angles of a triangle is

180^{\circ}

(ix) Today is a windy day
(x) All real numbers are complex numbers

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)

Q. Which of the following statements are correct?
Statement 1: There are 4 sides in a square.
Statement 2: A square is a quadrilateral.
Statement 3: A triangle is a quadrilateral.
Statement 4: A rectangle is a quadrilateral.

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