Class 6 Exam > Class 6 Notes > RD Sharma Solutions for Class 6 Mathematics > RD Sharma Solutions -Ex-19.1, Geometrical Constructions, Class 6, Maths
Ex-19.1, Geometrical Constructions, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics PDF Download
Q.1 Construct line segments whose lengths are :
(1) 4.8 cm (2) 12 cm 5 mm (3) 7.6 cm
Sol.1 : (i) Draw a line L on the paper and mark a point A on it.
Take a compass and place its metal point at zero mark of the ruler.
Adjust the compass such that the pencil point is at 4.8 cm mark on the ruler.
Now, take the compass to L such that its metal point is on point A.
Mark a small mark at B on L corresponding to the pencil point of the compass.
AB is the required line segment of 4.8 cm.
(ii) Draw a line L on the paper and mark a point A on it.
Take a compass and place its metal point at zero mark of the ruler.
Adjust the compass such that the pencil point gets placed at the point which is 5 small points from the mark of 12 cm to 13 cm of the ruler.
Now, take the compass to L such that its metal point is on A.
Mark a small mark at B on L corresponding to the pencil point of the compass.
AB is the required line segment of 12 cm 5 mm.
(iii) Draw a line L on the paper and mark a point A on it.
Take a compass and place its metal point at zero mark of the ruler.
Adjust the compass such that the pencil point gets placed at the point which is 6 small points from the mark of 7 cm to 8 cm of the ruler.
Take the compass to L such that its metal point is on A.
Mark a small mark at B on the line L corresponding to the pencil point of the compass.
AB is the required segment of 7.6 cm.
Q.2 Construct two segments of lengths 4.3 cm and 3.2 cm. Construct a segment whose length is equal to the sum of the lengths of these segments.
Sol.2 :Using compass and ruler, we construct two segments AB and CD of lengths 4.3 cm and 3.2 cm, respectively.
Draw a line L and mark a point P on it.
Take a compass and place its metal point at A and adjust it, such that the pencil point reaches point B.
Take the compass to line L, such that its metal point is on P.
Mark a small mark at Q on the line L corresponding to the pencil point of the compass.
Now, reset the compass, such that its metal and pencil points are on C and D, respectively.
Take the compass again to line L, such that its metal point is on Q and the pencil point makes a small mark at point R, which opposite to point P on line L
PR is the required segment, whose length is equal to the sum of the lengths of these segments.
The document Ex-19.1, Geometrical Constructions, Class 6, Maths RD Sharma Solutions | RD Sharma Solutions for Class 6 Mathematics is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.
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FAQs on Ex-19.1, Geometrical Constructions, Class 6, Maths RD Sharma Solutions - RD Sharma Solutions for Class 6 Mathematics
| 1. What are geometrical constructions in mathematics? |  |
Ans. Geometrical constructions in mathematics involve creating various shapes, lines, and angles using only a compass and a ruler. These constructions are done without the use of any measurements or calculations.
| 2. What is the importance of geometrical constructions? | |
Ans. Geometrical constructions play a crucial role in mathematics as they help in visualizing and understanding various concepts and theorems. They also assist in solving problems and proving mathematical statements.
| 3. What are some commonly used tools for geometrical constructions? | |
Ans. The two most commonly used tools for geometrical constructions are a compass and a ruler. A compass is used to draw circles, arcs, and to measure distances, while a ruler is used to draw straight lines and measure lengths.
| 4. How can geometrical constructions be applied in real-life situations? | |
Ans. Geometrical constructions have practical applications in various fields such as architecture, engineering, and design. They are used to create accurate drawings and plans, construct buildings and structures, and solve real-life problems involving shapes and angles.
| 5. Can geometrical constructions be used to prove mathematical theorems? | |
Ans. Yes, geometrical constructions can be used as a method of proof in mathematics. By constructing certain shapes or lines, one can visually demonstrate the validity of a theorem or a mathematical statement. This helps in providing concrete evidence and strengthening the understanding of mathematical concepts.
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