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Worksheet: Practical Geometry - Class 6 PDF Download

Q.1. Choose suitable units for the following measurements :
(a) Lenght of your pencil (cm or km) cm _(_fo_r_ e_x_a_m__p_le)
(b) Your height (cm or km) __________
(c) Distance by road between Delhi and Jaipur (cm or km) __________
(d) Lenght of your feet (cm or km) __________
(e) Length of rice grain (mm or km) __________
(f) Length of cloth needed to make your long raincoat (m or km) __________

Q.2. In the figure, OA = AB = BC = CD Fill in the blanks :Worksheet: Practical Geometry - Class 6

(i) A is the mid point of line segment __________.
(ii) B is the mid point of line segment __________ and line segment __________ also.
(iii) OC + CD = __________ (iv) OC – OA = __________
(v) Name the line segment whose length is equal to 3 times OA.

Q.3. Which angle is bigger? ∠ABC or ∠DEF?

Q.4. Using ruler and compass to construct angles of following measures :
(a) 135°
(b) 90°
(c) 180°
(d) 15° 

Q.5. Draw an angle measuring 54° using protractor. Now, without using protractor, construct
(a) a copy of this angle.
(b) an angle measuring 27°.

Q.6. Draw a line segment AB of length 10 cm. By drawing its perpendicular bisector repeatedly, obtain a line segment of length  Worksheet: Practical Geometry - Class 6AB.
Q.7. Draw a circle with centre X and radius 4 cm. Draw any chord Worksheet: Practical Geometry - Class 6Construct the perpendicular bnisector of Worksheet: Practical Geometry - Class 6   and check whether it passes through X. (Yes/No).

Q.8. Draw a line segment Worksheet: Practical Geometry - Class 6 of length 7 cm. Take any point, M, not on it. Through M, draw a perpendicular to Worksheet: Practical Geometry - Class 6 , using ruler and compasses.

Q.9. Draw a line segment AB of length 8 cm. At each end point of this line segment, draw a line perpendicular to AB. Are these two lines parallel? (Yes/No) 

Q.10. If AB = 7.5 cm and CD = 1.5 cm, construct a line segment whose length is equal to
 (i) 2 CD
 (ii) AB + CD
 (iii) AB – CD

You can access the solutions to this worksheet here.

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FAQs on Worksheet: Practical Geometry - Class 6

1. What are the basic tools needed for practical geometry?
Ans. The basic tools needed for practical geometry include a compass, ruler, protractor, set square, and pencil. These tools help in accurately drawing shapes, measuring angles, and constructing various geometric figures.
2. How do you construct a perpendicular bisector of a line segment?
Ans. To construct a perpendicular bisector of a line segment, first, draw the line segment. Then, using a compass, place the point on one endpoint and draw arcs above and below the line. Repeat this from the other endpoint, ensuring the arcs intersect. Finally, draw a line through the intersection points; this line is the perpendicular bisector.
3. What is the difference between a line, a line segment, and a ray?
Ans. A line is a straight path that extends infinitely in both directions, while a line segment has two endpoints and a finite length. A ray starts at one point and extends infinitely in one direction. Understanding these differences is crucial in practical geometry.
4. How do you find the area of a triangle using practical geometry?
Ans. To find the area of a triangle, you can use the formula: Area = 1/2 × base × height. First, measure the base of the triangle and the height from the base to the opposite vertex. Multiply the base by the height, then divide by 2 to get the area.
5. Why is it important to learn practical geometry?
Ans. Learning practical geometry is important because it helps develop spatial awareness and problem-solving skills. It is essential in various fields such as engineering, architecture, and design, as well as in everyday life for tasks like measuring and constructing objects accurately.
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