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Standard XII
Maths
Question

Which of the following statement(s) is/are correct ?
  1. A parallelogram in which two adjacent angles are equal is a rectangle.
  2. A quadrilateral in which both pairs of opposite angles are equal is parallelogram
  3. In a parallelogram the number of acute angles is two.
  4. All of these

A
In a parallelogram the number of acute angles is two.
B
A parallelogram in which two adjacent angles are equal is a rectangle.
C
A quadrilateral in which both pairs of opposite angles are equal is parallelogram
D
All of these
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Similar Questions
Q1

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

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Q2
Match the following.
(1)Rectangle(p) A quadrilateral having its opposite sides equal and parallel.
(2)Square(q)A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3)Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.
(4)Rhombus(s)A quadrilateral in which a pair of opposite sides are parallel.
(5)Trapezium(t)A parallelogram having all sides equal.

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Q3
Match the following.
(1) Rectangle(p) A quadrilateral having its opposite sides equal and parallel.
(2) Square(q) A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3) Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.
(4) Rhombus(s) A quadrilateral in which a pair of opposite sides are parallel.
(5) Trapezium(t) A parallelogram having all sides equal.

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Q4
If both pairs of opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.
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Q5

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures 90∘.
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure 90∘.

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