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Class 8 Maths Chapter 3 Question Answers - Understanding Quadrilaterals

Q1. Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
(i) square
(ii) rhombus
(iii) kite
(iv) rectangle.

Q2.
Which of the following quadrilaterals has a pair of opposite sides parallel? 

(i) rhombus
(ii) trapezium
(iii) kite
(iv) rectangle.

Q3. Which of the following quadrilaterals is a regular quadrilateral?  
(i)  rectangle
(ii) square
(iii) rhombus
(iv) kite.

Q4. Which of the quadrilaterals has all angles as right angles, opposite sides equal and diagonals bisect each other?
(i) rectangle
(ii) rhombus
(iii) square
(iv) none of these.

Q5. Which of the parallelograms has all sides equal and diagonals bisect each other at a right angle?
(i) square
(ii) rectangle 

(iii) rhombus
(iv) trapezium.

Q6. In an isosceles parallelogram, we have:
(i) pair of parallel sides as equal
(ii) pair of non-parallel sides as equal
(iii) pair of non-parallel sides as perpendicular
(iv) none of these.

Q7. Which of the following is true the adjacent angles of a parallelogram?
(i) they are equal to each other
(ii) they are complementary angles
(iii) they are supplementary angles
(iv) none of these.

Q8. The sides of a pentagon are produced in order. Which of the following is the sum of its exterior angles?
(i) 540°
(ii) 180° 

(iii) 720°
(iv) 360°

Q9. 
Which of the following is a formula to find the sum of interior angles of a quadrilaters of n-sides?
Class 8 Maths Chapter 3 Question Answers - Understanding Quadrilaterals
Class 8 Maths Chapter 3 Question Answers - Understanding Quadrilaterals
Class 8 Maths Chapter 3 Question Answers - Understanding Quadrilaterals
(iv) (n – 2) × 180°

Q10. Diagonals of which of the following quadrilaterals do not bisect it into two congruent triangles?
(i) rhombus
(ii) trapezium
(iii) square
(iv) rectangle.

Answers

1. (iii)
2. (ii)
3. (ii)
4. (i)
5. (iii)
6. (ii)
7. (iii)

Supplementary angles Supplementary angles 

8. (iv)

9. (iv)
10. (ii)

The document Class 8 Maths Chapter 3 Question Answers - Understanding Quadrilaterals is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Class 8 Maths Chapter 3 Question Answers - Understanding Quadrilaterals

1. What are the properties of a quadrilateral?
Ans. A quadrilateral is a polygon with four sides and four angles. The properties of a quadrilateral include having four straight sides, the sum of interior angles totaling 360 degrees, and opposite sides being equal in length.
2. How many types of quadrilaterals are there?
Ans. There are several types of quadrilaterals, including parallelograms, rectangles, squares, rhombuses, trapezoids, and kites. Each type has its own unique properties and characteristics.
3. What is the formula to calculate the area of a quadrilateral?
Ans. The formula to calculate the area of a quadrilateral depends on the type of quadrilateral. For example, the area of a parallelogram is calculated by multiplying the base by the height, while the area of a rectangle is calculated by multiplying the length by the width.
4. How do you determine if a quadrilateral is a parallelogram?
Ans. A quadrilateral is a parallelogram if both pairs of opposite sides are parallel and equal in length. Additionally, the opposite angles are also equal in a parallelogram.
5. Can a quadrilateral have all sides of different lengths?
Ans. Yes, a quadrilateral can have all sides of different lengths. As long as it has four sides and four angles, it still qualifies as a quadrilateral.
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