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Online Quiz (Worksheet A B C D)

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High School Mathematics
12.61 Quadrilaterals - Review

1. A quadrilateral is a polygon with four sides.

2. A quadrilateral with a pair of opposite sides are parallel is called a trapezium. If the non-parallel sides of a trapezium are equal it is called an isosceles trapezium.

3. If ABCD is an isosceles trapezium in which AB // CD and AD = BC, the diagonals are equal AC = BD.
Angles at the end of the parallel lines are equal. A = B and C = D.

4. If both the pairs of opposite sides of a quadrilateral are parallel, then it is called a parallelogram.
In a parallelogram,
i) Opposite sides are equal.
ii) Opposite angles are equal.
iii) The diagonals bisect each other.

5. A quadrilateral is a parallelogram if its sides are equal, (or) its opposite sides are equal, (or) its opposite angles are equal, (or) its diagonals bisect each other, (or) if one pair of opposite sides are parallel and equal.

6. A parallelogram with one of its angles a right angle is rectangle.

7. A parallelogram whose adjacent sides are equal is rhombus

8. A rectangle whose adjacent sides are equal is a square.

9. A rhombus with one angle a right angle is a square.

10. A square is both rhombus and rectangle.

11. In a rhombus:
i) All sides are equal.
ii) The diagonals are right bisectors of each other.
ii) The diagonals bisect the angles at their ends.

12. In a rectangle:
i) Opposite sides are equal.
ii) All angles are equal and each 90.
iii) Diagonals are equal and bisect each other.

13. In a square:
i) All sides are equal.
ii) All angles are equal and each is 90.
iii) Diagonals are equal and are right bisectors of each other.
iv) Diagonals bisect the angles at their ends. The angle between a side and a diagonal is 45.

Directions: Choose the correct answer.

Q 1: The diagonals of a parallelogram ________ each other.
not bisect
bisect

Q 2: All trapeziums are parallelograms.
True
False

Q 3: All quadrilaterals are trapeziums.
False
True

Q 4: If a pair of opposite sides of a quadrilateral are parallel. it is called _______.
Square
Trapezium

Q 5: Any two consecutive angles of a parallelogram are ______.
acute
complementary
equal
supplementry

Q 6: A parallelogram is a trapezium.
False
True

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Question 8: This question is available to subscribers only!


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