Regular revision with Class 6 Maths MCQ with Answers and Ganita Prakash Class 6 Maths Chapter 8 Playing with Constructions MCQ improves accuracy in objective exams.
MCQ on Playing with Constructions Class 6
Playing with Constructions MCQ Class 6
Class 6 Maths Playing with Constructions MCQ
Question 1.
Which of the following is a valid name for the given rectangle?
(a) ABDC
(b) DABC
(c) DCAB
(d) ACBD
Solution:
(b) DABC
DABC is the valid name for the given rectangle as it lists the vertices in a sequence around the shape.
Question 2.
Which of the following can be the side lengths of a rectangle that can be divided into 3 identical squares?
(a) 3 cm and 9 cm
(b) 3 cm and 6 cm
(c) 4 cm and 9 cm
(d) 4 cm and 8 cm
Solution:
(a) 3 cm and 9 cm
A rectangle that can be divided into 3 identical squares must have one side equal to one-third of the other. So, a rectangle with side lengths 3 cm and 9 cm can be divided into 3 identical squares.
Question 3.
In a rectangle, one of its diagonals divides the opposite angles in 42° and x. Value of x is:
(a) 52°
(b) 58°
(c) 42°
(d) 48°
Solution:
(d) 48°
Each angle of a rectangle is 90°.
∴ x + 42° = 90°
⇒ x = 90° – 42°
⇒ x = 48°
Question 4.
Which of the following is not a valid name for the given square?
(a) PDKM
(b) KDPM
(c) MDKP
(d) DKMP
Solution:
(c) MDKP
MDKP is not a valid name as it does not list the vertices of the given square in a sequence around the shape.
Question 5.
What is the measure of each angle in a square?
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Solution:
(d) 90°
In a square, all four angles are equal to 90°.
Question 6.
If you had to draw a circle with a 4 cm radius, which instrument would you pick?
(a) Protractor
(b) Set square
(c) Compass
(d) None of these
Solution:
(c) Compass
A compass is used to draw circles and arcs.
Question 7.
Which of the following are properties of a square?
(i) All sides are equal.
(ii) All angles are 90°.
(iii) Diagonals are of different lengths.
(iv) Diagonals are of same length.
Choose the correct option from the following:
(a) (i), (ii) and (iv)
(b) (ii), (iii) and (iv)
(c) (i), (ii) and (iii)
(d) (i), (iii) and (iv)
Solution:
(a) (i), (ii) and (iv)
All sides of a square are of equal length.
Each interior angle of a square is a right angle, i.e. 90°.
The diagonals of a square are equal in length. Hence, statements (i), (ii) and (iv) are true.
Question 8.
Which of the following statements about diagonals of
(i) In a rectangle, the diagonals are equal.
(ii) In a square, the diagonals are equal.
(iii) In rectangles, the diagonals always bisect the angles equally.
(iv) In both rectangles and squares, diagonals pass through the centre.
Choose the correct option from the following:
(a) (i), (ii), and (iv)
(b) (ii), (iii) and (iv)
(c) (i), (iii), and (iv)
(d) (i) and (ii) only
Solution:
(a) (i), (ii), and (iv)
The diagonals of a rectangle are always equal in length.
In a square, diagonals are equal.
Diagonals in a rectangle do not bisect the angles equally unless it’s a square, so statement (iii) is incorrect.
In both squares and rectangles, diagonals pass through the centre.
Therefore, statements (i), (ii) and (iv) are correct.
Playing with Constructions Class 6 Fill in the Blanks
Question 1.
All the points on a circle are at the same distance from its ________ .
Solution: centre
All the points on a circle are at the same distance from its centre.
Question 2.
In a rectangle, _____ sides are equal in length.
Solution: opposite
In a rectangle, opposite sides are equal in length.
Question 3.
The diagonal of a square divides each opposite angle into two equal angles of _______ each.
Solution:
The diagonal of a square divides each opposite angle into two equal angles of 45° each.