Class 6 Maths Chapter 8 Extra Questions Playing with Constructions
Class 6 Maths Playing with Constructions Extra Questions
NCERT Class 6 Maths Chapter 8 Playing with Constructions Extra Questions and Answers
Very Short Answer Type Questions
Question 1.
The longest chord of the circle is:
Solution :
Diameter
Question 2.
Circle having same centre are called:
Solution :
Concentric circle
Question 3.
The complete distance around the circle is called:
Solution :
Circumference
Question 4.
Jasleen draws a circle of radius 3.8 cm with centre C.
She wants to draw a perpendicular bisector to the chord AB.
Draw the perpendicular bisector of the line AB.
Solution :
MC is the perpendicular of the line.
Question 5.
Can you explain how MC divides AB into two equal parts?
Solution :
Yes, MC divides AB into two equal parts because it passes through the centre of the circle.
Question 6.
Angad say, “QT is the line of symmetry for ∠ PQR.”
Bhupesh says. “QS is the line of symmetry for ∠ PQR.”
(i) Who is correct? Give a reason to justify your answer.
Solution :
Bhupesh is correct because line QS divided ∠ PQR in two equal parts.
(ii) What is the measure of ∠ PQT ?
Solution :
∠ PQT = 30°, because ∠ RQT is divided into three equal parts.
Passage Based Questions
Passage 1: A carpenter needs to cut a piece of wood into two halves. He doesn’t have a measuring tape, but he does have a pencil and a compass. He uses a geometrical construction to divide the wood into two equal parts.
He starts by drawing a line segment along the length of the wood. Then, he places the compass’s point at one end of the line segment and opens the compass to a length greater than half the length of the line segment. He draws arcs from both ends of the line segment, intersecting each other at two points. Finally, he draws a line segment connecting these two points, which intersects the original line segment at its midpoint.
Question 1.
What geometrical construction is the carpenter performing?
(a) Bisecting an angle
(b) Constructing a perpendicular line
(c) Bisecting a line segment
(d) Constructing an angle of a given measure
Answer:
(c) Bisecting a line segment
Question 2.
Why does the carpenter need to open the compass to a length greater than half the length of the line segment?
(a) To ensure the arcs intersect
(b) To make the construction easier
(c) To get a more accurate measurement
(d) To avoid making mistakes
Answer:
(a) To ensure the arcs intersect
Question 3.
What is the significance of the line segment connecting the two intersection points of the arcs?
(a) It is the perpendicular bisector of the original line segment.
(b) It is the angle bisector of the original line segment.
(c) It is the median of the original line segment.
(d) It is the alkitude of the original line segment.
Answer:
(a) It is the perpendicular bisector of the original line segment.
Question 4.
How does the carpenter use this construction to divide the wood into two equal halves?
(a) He cuts along the line segment connecting the two intersection points.
(b) He measures the length of the line segment connecting the two intersection points and cuts accordingly.
(c) He draws a perpendicular line from the midpoint of the original line segment to the ends of the wood.
(d) He bisects the angle formed by the original line segment and the line segment connecting the two intersection points.
Answer:
(c) He draws a perpendicular line from the midpoint of the original line segment to the ends of the wood.