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Practical Geometry Class 7 Notes CBSE Maths Chapter 10 (Free PDF Download)

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Last updated date: 23rd May 2024
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Revision Notes for CBSE Class 7 Maths Chapter 10 - Free PDF Download

Free PDF download of Class 7 Maths Chapter 10 - Practical Geometry Revision Notes & Short Key-notes prepared by expert Maths teachers from latest edition of CBSE(NCERT) books. To register Maths Tuitions on Vedantu.com to clear your doubts.

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Access Class 7 Maths Chapter 10 - Practical Geometry Notes

  • Construction of a Line parallel to a given line, through a point not on the line:

  1. Construct a line $l$ with the help of a ruler and mark a point $\text{A}$, but not on the line. Join that point with another point $\text{B}$ which is on the line.


Line parallel


  1. Now, placing the compass needle at $\text{B}$, draw an arc cutting the line $l$ and $\overleftrightarrow{\text{AB}}$ at points \[\text{C}\] and $\text{D}$ respectively.  Now, similarly, placing the compass needle at $\text{A}$, without changing the radius, draw another arc $\overset\frown{\text{EF}}$ cutting the $\overleftrightarrow{\text{AB}}$ at $\text{G}$.


Line parallel
Line parallel
 

  1. Now, place the needle of the compass at $\text{C}$, and measure $\text{CD}$ as the radius, then put the needle at $\text{G}$, draw an arc cutting $\overset\frown{\text{EF}}$ at $\text{H}$.

  2. Finally, draw a line $m$ joining $\overleftrightarrow{\text{AH}}$.


Line parallel


  • Properties of a triangle: 

  1. A triangle's exterior angle is equal to the sum of its inner opposite angles.

  2. The sum of a triangle's three angles is \[180{}^\circ \].

  3. The sum of the lengths of any two triangle sides is greater than the third side's length.

  4. The square of the hypotenuse length is equal to the sum of the squares of the other two sides in any right-angled triangle.

  • Constructing a Triangle when the lengths of its three sides are known (SSS Criterion):

  1. Draw a line segment \[\overline{\text{AB}}\text{ = 4 cm}\] with the help of a ruler and pencil, then place the compass needle at point $\text{A}$, taking the desired length as radius, say 5 cm, draw an arc \[\overset\frown{\text{KL}}\].

  2. Similarly, placing the compass needle at $\text{B}$, draw another arc \[\overset\frown{\text{XY}}\] cutting \[\overset\frown{\text{KL}}\], taking the desired radius, say 6 cm (the length of the third side of the required triangle).


Line parallel


  1. Mark the intersection of both the arcs as point $\text{C}$, now by joining $\overline{\text{AC}}$ and $\overline{\text{BC}}$, we will get the triangle.


Triangle


  • Constructing a Triangle when the lengths of two sides and the measure of the angle between them are known (SAS Criterion):

  1. Draw a line segment \[\overline{\text{AB}}\text{ = 4 cm}\] with the help of a ruler and pencil, then draw another line from point $\text{A}$, making the desired angle, say $60{}^\circ $.

  2. Now, taking $\text{A}$ as centre, placing the compass needle there, draw an arc \[\overset\frown{\text{KL}}\], with the desired radius (the given length of the other side) cutting $\overrightarrow{\text{AX}}$ at $\text{C}$.


Triangle


  1. Finally, join $\overline{\text{BC}}$ to get the required triangle.


Triangle


  • Constructing a Triangle when the measures of two angles and the length of the side included between them are known (ASA Criterion):

  1. Draw a line segment \[\overline{\text{AB}}\text{ = 4 cm}\] with the help of a ruler and pencil, then draw another line from point $\text{A}$, making the desired angle, say $30{}^\circ $.


Triangle


  1. Draw another angle, say $75{}^\circ $ at $\text{B}$ and extend the line to meet the angle subtended from point $\text{A}$, naming it point $\text{C}$. 


Triangle


  • Constructing a Right-angled triangle when the length of one side and its hypotenuse are known (RHS Criterion):

  1. Draw a line segment \[\overline{\text{AB}}\text{ = 4 cm}\] with the help of a ruler and pencil, then draw another line from point $\text{A}$, making the desired right angle.


Triangle


  1. Now, placing the needle of the compass at $\text{B}$ and taking the measure of another side (hypotenuse), say 7 cm, draw an arc cutting the line $\overline{\text{AX}}$  at $\text{C}$ .

  2. Joining the $\text{B}$ with the point of intersection of this arc at $\text{C}$, will give us the required triangle.


Triangle


Chapter Summary - Practical Geometry

In "Practical Geometry" for Class 7, explore the exciting world of shapes and their practical applications. Learn to draw and construct various geometric figures like triangles, quadrilaterals, and circles. The chapter introduces the concept of angle measurement and the use of a protractor. Discover the art of bisecting angles and drawing perpendicular and parallel lines. With engaging activities, develop hands-on skills in constructing geometric shapes, and getting a deeper understanding of spatial concepts. "Practical Geometry" equips young minds with fundamental tools to navigate the geometric wonders in their surroundings.


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Discover the advantages of using Vedantu’s Revision Notes for 7 Maths Chapter 10 - Practical Geometry —your go-to resource for clear and concise summaries, simplified complex topics, and efficient last-minute exam preparation. With practical examples and prioritized key points, these notes enhance retention, save time, and boost confidence for exams.


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Conclusion

For an enhanced comprehension of this subject, NCERT - 7 Maths Chapter 10 - Practical Geometry, thoughtfully prepared by experienced educators at Vedantu, is your invaluable companion. These notes break down the complexities of Practical Geometry into easily digestible sections, helping you grasp new concepts and navigate through questions effortlessly and quickly at the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Practical Geometry Class 7 Notes CBSE Maths Chapter 10 (Free PDF Download)

1. What does Practical Geometry in Class 7 involve?

Practical Geometry in Class 7 deals with constructing and drawing geometric figures using a compass and ruler.

2. How do Practical Geometry notes benefit students?

The notes simplify construction methods, aiding in easy understanding and application of geometric concepts in Class 7.

3. Can Practical Geometry help in real-life applications?

Yes, learning to construct practical geometrical shapes in Class 7 provides skills applicable to various real-life scenarios and problem-solving.

4. Why is Practical Geometry important for Class 7 students?

Practical Geometry fosters spatial reasoning, improves visualization skills, and enhances overall understanding of geometric principles.

5. How can Practical Geometry Class 7 Notes CBSE Maths Chapter 10 notes PDF aid exam preparation?

The notes prioritise key construction methods, offering a focused study resource for effective Class 7 exam preparation.