Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > Very Short Answer Type Questions: Quadrilaterals
Class 9 Maths Question Answers - Quadrilaterals
Question 1. In the adjoining figure, ABCD is a trapezium in which AB || DC. If ∠A = 35º and ∠B = 75º, then find ∠C and ∠D.
Solution: AB || DC and AD is a transversal.
∴ ∠A + ∠D = 180º
⇒ ∠D = 180° - ∠A
= 180° - 35° = 145°
Similarly, ∠B + ∠C = 180º
⇒ ∠C = 180° - 75° = 105°
Thus, ∠C = 105°∠D = 145°
Question 2. Fill in the blanks:
(i) In a parallelogram, opposite angles are ____.(ii) A ____ of a parallelogram divides it into two congruent triangles. (iii) The sum of the angles of a quadrilateral is ____. (iv ) In a parallelogram, the opposite sides are parallel and _____.
Solution: (i) equal
(ii) diagonal
(iii) 360°
(iv) equal
Question 3. One angle of a quadrilateral is 140° and other three angles are in the ratio of 3 : 3 : 2.
Find the measure of the smallest angle of the quadrilateral.
Solution: Remaining three angles = 360° - 140° = 220°
Ratio is 3 : 3 : 2
∴ The smallest angle
The document Class 9 Maths Question Answers - Quadrilaterals is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 9 Maths Question Answers - Quadrilaterals
| 1. What are quadrilaterals? |  |
Ans. Quadrilaterals are polygons with four sides and four angles. They are two-dimensional shapes formed by connecting four line segments.
| 2. What are the types of quadrilaterals? | |
Ans. There are several types of quadrilaterals, including rectangles, squares, parallelograms, trapezoids, and rhombuses. Each type has its own unique properties and characteristics.
| 3. How do you identify a rectangle? | |
Ans. A rectangle is a type of quadrilateral that has four right angles and opposite sides that are equal in length. It can be identified by its four 90-degree angles and congruent opposite sides.
| 4. What is the difference between a square and a rhombus? | |
Ans. Both a square and a rhombus are types of quadrilaterals with four equal sides. However, a square has all four angles equal to 90 degrees, while a rhombus has opposite angles that are equal but not necessarily 90 degrees.
| 5. How do you calculate the area of a parallelogram? | |
Ans. The area of a parallelogram can be calculated by multiplying the length of its base by its height. The height is the perpendicular distance between the base and the opposite side. The formula for calculating the area of a parallelogram is A = base x height.
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