CBSE Class 6 Maths Important Questions Chapter 8 - Playing with Constructions

1. Name the main tools used for constructions in geometry.
Ans: The main tools are a ruler, compass, and protractor.

2. What is the purpose of constructing a perpendicular bisector?
Ans: It divides a line segment into two equal parts at a 90° angle.

3. How do you construct a line segment of 5 cm?
Ans: Use a ruler to measure and draw a straight line exactly 5 cm long.

4. What does "constructing an angle" involve?
Ans: Constructing an angle involves drawing an angle of a specific measure using tools like a compass and a protractor.

5. What is an equilateral triangle?
Ans: An equilateral triangle is a triangle with all three sides of equal length and all angles equal to 60°.

6. Describe the steps to construct a 90° angle using a compass and ruler.
Ans: Draw a straight line and mark a point on it. Place the compass on this point and draw an arc that crosses the line. From where the arc crosses the line, draw two more arcs that intersect above the line. Connect the intersection to the point on the line to create a 90° angle.

7. How would you construct a 45° angle?
Ans: Start by constructing a 90° angle as explained. Then, using a compass, divide the 90° angle in half to get a 45° angle.

8. Explain how to draw a line segment that is the perpendicular bisector of another line segment.
Ans: Draw a line segment and mark its endpoints. Place the compass on one endpoint, with a width slightly more than half the segment's length. Draw arcs above and below the line. Repeat from the other endpoint. Connect the intersections of the arcs above and below the line to form a perpendicular bisector.

9. What are the steps to construct a triangle with sides of 4 cm, 5 cm, and 6 cm?
Ans: Draw the base of 6 cm with a ruler. Place the compass at one end, adjust it to 4 cm, and draw an arc. Repeat with 5 cm from the other end. The point where the arcs intersect forms the third vertex of the triangle. Connect this point to each end of the base.

10. Why is constructing angles and shapes important in geometry?
Ans: Constructing angles and shapes accurately is essential for understanding geometry principles and helps in real-life applications like design, building, and art.

11. Construct a circle of diameter 5 cm.

Ans:
Steps of construction: 

(i) Draw a line segment AB measuring 5 cm. 

(ii) Use a ruler to locate and mark the midpoint O of line segment AB. 

(iii) With OO as the centre and the compass opened to the length of OA or OB, draw a circle.

Thus, it is a required circle.

12. Construct a rectangle having adjacent sides of 6 cm and 4 cm and find its area.
Ans:
Given: Adjacent sides are 6 cm and 4 cm.

Steps for construction:

1. Start by sketching a rough diagram and marking the given measurements.

2. Draw a line segment AB of 6 cm.

3. At point A, use a protractor to draw a line AX perpendicular to AB.

4. With A as the centre, draw an arc with a radius of 4 cm to intersect AX at point D.

5. Now, with DD as the centre, draw an arc of a 6 cm radius above the line segment AB.

6. Using B as the centre, draw another arc with a 4 cm radius to intersect the previous arc at point C. Connect B to C and C to D.

This completes the rectangle ABCD.

Area of Rectangle= length×breadth = 6cm×4cm = 24sq cm.

Important Topics of Class 6 Maths Chapter 8 Playing with Constructions

Here are the important topics of Class 6 Maths Chapter 8: Playing with Constructions, which covers basic geometrical tools, using a ruler and compass, drawing line segments and circles, constructing angles, and creating geometric shapes.

Benefits of Learning with Class 6 Maths Chapter 8 Important Questions 

• Practising with these questions enhances understanding of basic construction techniques using a ruler and compass.

• Helps students learn to measure accurately and draw angles, laying a strong foundation for future geometry topics.

• Familiarity with construction methods makes students more confident in tackling geometry problems.

• Practical exercises connect students to real-life applications of shapes and measurements.

• Focused questions provide good practice, helping students prepare well for exams with key concepts and methods.

Conclusion:

In conclusion, studying the Important Questions for Class 6 Maths Chapter 8, Playing with Constructions, offers a valuable opportunity to strengthen foundational geometry skills. These questions not only enhance accuracy and confidence in drawing shapes and angles but also prepare students effectively for exams. Download the FREE PDF to practice anytime and build practical knowledge in an easy-to-understand format.

Important Study Materials for Class 6 Maths Chapter 8

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