Last Updated on December 14, 2024 by XAM CONTENT
Hello students, we are providing case study questions for class 6 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 6 maths. In this article, you will find case study questions for CBSE Class 6 Maths Chapter 8 Playing with Construction. It is a part of Case Study Questions for CBSE Class 6 Maths Series.
| Chapter | Playing with Construction |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 6 |
| Subject | Maths |
| Useful for | Class 6 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 6 Maths Chapterwise Case Study |
Case Study Questions on Playing with Construction
Questions
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.
Q.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
Difficulty Level: Easy
Ans. Option (c) is correct.
Q. 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
Difficulty Level: Easy
Ans. Option (a) is correct.
Q.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 altitude of the original line segment.
Difficulty Level: Medium
Ans. Option (a) is correct.
Q. 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.
Difficulty Level: Medium
Ans. Option (c) is correct.
Topics from which case study questions may be asked
- Squares and Rectangles
- Constructing Squares and Rectangles
- Diagonals of Rectangles and Squares
- Constructing Two Squares Within a Rectangle
- Construction of angle 60 degrees
- Construction of perpendicular bisector
- Constructing the Diagonal of a Square
- Constructing the Diagonal of a Rectangle
Case study questions from the above given topic may be asked.
Learning Objectives
Students will be able to:
- Know about the basic geometrical shapes and their construction.
- Able to perform basic geometrical constructions using a compass and straight edge.
- Learn to visualize and describe 2-dimensional objects in their surroundings.
- They classify angles according to their measure (acute, obtuse, right).
Understanding Playing with Construction
- Centre: The center of a circle is a crucial point. It’s the point from which all points on the circle are equidistant.
- Radius: The radius is the distance from the center of the circle to any point on the circle.
Centre of a circle is a point from which any distance on circle is constant.
Frequently Asked Questions (FAQs) on Playing with Construction Case Study
Q1: What is geometrical construction?
A1: Geometrical construction involves drawing shapes, angles, and lines accurately using tools like a ruler, compass, protractor, and set square.
Q2: What tools are used for geometrical constructions?
A2: The tools commonly used for constructions include:
Compass: For drawing circles and arcs.
Ruler: For measuring and drawing straight lines.
Protractor: For measuring and drawing angles.
Set Squares: For drawing perpendicular or parallel lines.
Q3: What is an angle bisector?
A3: An angle bisector is a line that divides an angle into two equal parts.
Q4: How do you construct an angle bisector?
A4: To construct an angle bisector:
Step 1: Draw an angle ∠ABC.
Step 2: Place the compass at point B and draw an arc that intersects both rays of the angle.
Step 3: From the points of intersection, draw two arcs that intersect each other.
Step 4: Join the point of intersection of the arcs to point B. This is the angle bisector.
Q5: How do you draw parallel lines using a set square?
A5: To draw parallel lines:
(i) Place a set square along the given line and align another ruler along one edge of the set square.
(ii) Slide the set square along the ruler to the required distance and draw a line parallel to the original line.
Q6: Why is construction important in geometry?
A6: Construction is important because it:
(i) Develops precision and accuracy in drawing geometric shapes.
(ii) Helps in understanding geometric properties visually.
(iii) Has practical applications in engineering, design, and architecture.
Q7: Can we use a protractor to verify constructed angles?
A7: Yes, a protractor can be used to measure and verify the accuracy of constructed angles.
Q8: What is a protractor, and how is it used?
A8: A protractor is a tool used to measure and draw angles. It has a semicircular shape with degree markings from 0° to 180°. To measure an angle, the protractor is placed on the angle’s vertex, and the angle’s arms are aligned with the degree markings.
Q9: Are there any online resources or tools available for practicing “Playing with Construction” case study questions?
A9: We provide case study questions for CBSE Class 6 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
