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RS Aggarwal Class 9 Solutions Chapter-13 Geometrical Constructions

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Last updated date: 25th Apr 2024
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Class 9 RS Aggarwal Solutions - Free PDF Download

Class 9 is an essential class for any school student because only with the foundational knowledge of Class 9 a student can step into class 10. And after the completion of the 9th and 10th standards, a student appears for his first national exam or board exam of his educational life. Hence RS Aggarwal solutions Class 9 Maths Chapter 13 is there to clear your doubts and clarify the basic concepts. After solving the NCERT Maths a student needs to solve more Maths problems of different types. Math is a subject that cannot be memorized. Hence practice sums from other books. Here is where RS Aggarwal Class 9 solutions Chapter 13 can help you. The questions are on various methods of construction as per the latest syllabus.

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Content of Chapter 13 Geometrical Construction Class 9

The Class 9 RS Aggarwal Maths Chapter 13 is all about Geometrical construction, line segments using ruler, compass, protractor, and more. The syllabus mainly consists of the construction of various geometrical shapes and figures, like bisecting angles or lines. Next, you have the construction of a 60-degree angle along with a perpendicular bisector construction technique for a given line. A student also learns how to construct triangles with different lengths, angles, and dimensions.

One will learn triangle construction with different cases as the following:

  • Two lower or base angles are there with the perimeter.

  • One of the base angles and differences between any two other sides.

  • Length of the base, one of the base angles, and the sum of any two sides.


All the procedure of constructions is there in RS Aggarwal Class 9 construction chapter in easy language so that the students can construct for themselves and learn. The construction requires a compass, ruler, and pencil to join the lines and arcs. The chapter clears the concept of constructing points and angles without the use of a protractor. After completing the chapter, the student can easily construct an angle, point, or triangle using the data given in the question.

 

Content of RS Aggarwal Class 9 Chapter 13 Geometrical Construction

The RS Aggarwal solutions Class 9 Chapter 13 consists of a single exercise with a total of 21 questions. These 21 questions are based on different types of construction. First, you have to draw a perpendicular bisector of a particular line. Then you have constructions and measurements of an 80-degree angle and then bisect it. Further, you have to construct, by only using a ruler and compass, a 90-degree angle, and then bisect it. Next in RS Aggarwal Class 9 Maths Chapter 13 you have general questions on the construction of different values of angles without the use of a protractor. After that, you need to construct triangles with various conditions such as only two angles given or one side and one angle given. As you dive deeper into the chapter, you study concepts of equilateral and right-angled triangles along with the construction of squares.

 

Benefits of RS Aggarwal Class 9 Chapter 13 Geometrical Construction

The RS Aggarwal Class 9 Maths Chapter 13 is essential for students as it has been prepared by experienced teachers all over India. It will clear all your doubts right before the examination. The RS Aggarwal solutions Class 9 Maths ch 13 will give you an exact idea of writing an answer to gain full marks. It is there in easy language for everyone to grasp the chapter. You can point out which sections of construction you need to focus on more. The RS Aggarwal Chapter 13 Maths Class 9 is the best for a student to revise all the concepts before the examination. All solutions are there in a stepwise format for a better understanding of the student.

 

Solved Examples

  1. What is a Perpendicular Bisector of a Line?

Ans: A perpendicular bisector is a perpendicular line passing through the midpoint of any line.

  1. What is the Bisector of an Angle?

Ans: A bisector of an angle is a line that divides the angle into two halves.

FAQs on RS Aggarwal Class 9 Solutions Chapter-13 Geometrical Constructions

1. How to Construct a 90-degree Angle With Only a Ruler and Compass?

Construction of a 90-degree angle is there in geometrical construction Class 9 solutions. First, you need to draw a line segment and name it ab. Now take the compass and keep it at the center point, cut an arc on ab with a small radius. Name the point as m. Now with the same radius as above and m the center, cut a small arc on the previous arc drawn. Take the same radius and n as the center, cut another small arc at p on the last arc. Again, with a center at n and radius more than np, draw an arc. Then with the same radius draw the arc that will cut the previous arc at q. Now join aq. It is the 90-degree angle.

2. How to Construct an Angle of 75 degrees and 135 degrees?

The constructions are there in RS Aggarwal solutions Class 9 Maths ch 13. Firstly draw a line xy. Then choose any point o on the line xy. Draw a semicircle taking o as the center that cuts the line xy at p and q. Now, construct a 90 degree at angle YOR. Further, construct the bisector of this angle 90 degrees. Mark the point at s where the bisector cuts the semicircle. Intersecting at point a, draw two arcs with s and t as centers. Angle AOY is equal to 75 degrees. Draw any line xy and take a point 'a' on it. Draw a semicircle taking 'a' as the center that cuts the line xy at p and q. Construct angle YAC equal to 90 degrees. Next, draw the bisector of angle XAC and name it as ab. Angle YAB is 135 degrees. All are in RS Aggarwal Class 9 Chapter 13 geometrical construction.


3. Write the steps to construct an angle of 60 degrees.

Construction of an angle of 60 degrees is given in RS Aggarwal Class 9 Chapter 13 Geometrical Constructions Solutions. First, you need to draw a line segment and name it, say, AB. Then take the compass at the center point and draw an arc with a small radius. Let’s say, we name this point as m. Then, taking m as the center point and taking the radius same as above, we cut another arc on the previous arc. We name this n. Join m and n and extend the line to make it more visible. Here we have a 60-degree angle. 

4. Why are Class 9 RS Aggarwal solutions important?

R S Aggarwal solutions are important to let the students check if they have understood and grasped all the concepts correctly or not. Consulting the solutions after solving the sums will help the students gain clarity over whether they have solved all the sums correctly. If they get all the correct answers after checking the solutions, that means they have understood the chapter. This will, in turn, help the students in being more confident. If they don’t get the correct answers, students have to understand that they still don't have a hold on all the ideas, thus they need to solve more sums. 

5. Where do I get all the solutions of R S Aggarwal and other resources for studying?

All the solutions of R S Aggarwal and other resources for studying are available in Vedantu. In Vedantu, you will get solution sets, revision notes, practice papers, previous year papers, etc. which are very helpful for students of Class 9. These resources are made by subject experts. All of these are available for free. Students can visit the Vedantu app or website and just download them in pdf format. These resources will surely help students a lot in preparing for their exams.