RBSE Class 8 Maths Important Questions Chapter 3 Understanding Quadrilaterals

Rajasthan Board RBSE Class 8 Maths Important Questions Chapter 3 Understanding Quadrilaterals Important Questions and Answers.

RBSE Class 8 Maths Chapter 3 Important Questions Understanding Quadrilaterals

Multiple Choice Questions

Question 1.
Which of the following closed curve has four sides:
(a) diagonal
(b) quadrilaterals
(c) triangle
(d) circle
Answer:
(b) quadrilaterals

Question 2.
Which of the quadrilaterals has all angles has right angles, opposite side equal and diagonals bisect each other,
(a) rectangle
(b) rhombus
(c) square
(d) none of these
Answer:
(a) rectangle

Question 3.
Which of the following quadrilaterals is a regular quadrilateral?
(a) rhombus
(b) square
(c) kite
(d) rectangle
Answer:
(b) square

Question 4.
The angle of a square are
(a) 9,0°, 120°, 120°, 30°
(b) 90°, 90°, 90°, 90°
(c) 90°, 50°, 100°, 120°
(d) 90°, 80°, 70°, 60°
Answer:
(b) 90°, 90°, 90°, 90°

Question 5.
What are the measurements of sides of given parallelogram?

(a) 9 cm and 2 cm
(b) 3 cm and 6 cm
(c) 4 cm and 5 cm
(d) 7 cm and 7.7 cm
Answer:
(c) 4 cm and 5 cm

Question 6.
The sum of the measures of the external angles of any polygon is
(a) 90°
(b) 180°
(c) 240°
(d) 360°
Answer:
(d) 360°

Question 7.
Name of the regular polygon with 4 sides is
(a) Rectangle
(b) Square
(c) Parallelogram
(d) Trapezium
Answer:
(b) Square

Fill in the blanks

Question 1.
The diagonals of a parallelogram ......................... each other.
Answer:
bisect

Question 2.
Diagonals of a rhombus are perpendicular ......................... .
Answer:
bisectors

Question 3.
Diagonals of a rectangle are ............................. .
Answer:
equal

Question 4.
A quadrilateral with exactly ...................... pairs of equal consecutive sides.
Answer:
two

Question 5.
A simple closed curve made up of only ..................... is called a polygon.
Answer:
line segments.

Very Short Answer Type Questions

Question 1.
Write the value of each angle in a rectangle.
Answer:
90°

Question 2.
Diagonals of a rhombus are
Answer:
angle bisectors

Question 3.
Which sides of a parallelogram are equal?
Answer:
opposite sides.

Question 4.
Write two necessary points to make a rhombus.
Answer:
(i) Measurement of a side and angle between two adjacent sides.
(ii) diagonals.

Question 5.
Define rectangle.
Answer:
A rectangle is a parallelogram with equal angles.

Short Answer Type Questions

Question 1.
The following figure RING is a parallelogram. If ∠R = 70° then final out remaining all angels of this parallelogram.

Answer:
By showing given parallelogram RING.
∵ ∠R = 70° (given that)
∴ ∠N = 70p
∵ ∠N, ∠R are opposite angles
we know that the sum of any two adjacent angles of a parallelogram is 180°, therefore
∠I = 180° - 70° = 110°
so we can write ∠G = 110° ∵ ∠I, ∠G are opposite angles.

Question 2.
The following figure PQRS in a parallelogram. Find x and y (length is in cm).

Answer:
In parallelogram PQ = RS
so 3x - 1 = 29
or 3x = 29 + 1
or 3x = 30
or x = \frac{30}{3}
= 10 cm
In parallelogram PS = QR
so 4y = 24
or y = \frac{24}{4}
= 6 cm
so we can write x = 10 cm and y = 6 cm