NCERT solution Class 9 constructions

NCERT Solutions

Class 9 Maths

Constructions

NCERT Questions

Ex.11.1 Q.1
Ex.11.1 Q.2
Ex.11.1 Q.3
Ex.11.1 Q.4
Ex.11.1 Q.5
Ex.11.1 Q.6
Ex.11.2 Q.2
Ex.11.2 Q.3
Ex.11.2 Q.4
Ex.11.2 Q.5

Ex.11.1 Q.1

Construct an angle of 90⁰ at the initial point of a given ray and justify the construction.

Steps of Construction:

1. Let us take a ray AB with initial point A.

2. Taking A as centre and some radius, draw an arc of a circle, which intersects AB at C.

3. With C as centre and the same radius as before, draw an arc, intersecting the previous arc at E.

4. With E as centre and the same radius, as before, draw an arc, which intersects the arc drawn in step 2 at F.

5. With E as centre and some radius, draw an arc.

6. With F as centre and the same radius as before, draw another arc, intersecting the previous arc at G.

7. Draw the ray AG.

Then BAG is the required angle of 90⁰.

Justification: Join AE, CE, EF, FG and GE

AC = CE = AE

[By construction]

ΔACE is an equilateral triangle

Angle CAE = 60°...……...……… (1)

Similarly, ΔAEF = 60………... (2)

From (i) and (ii), FE || AC …. (3)

[Alternate angles are equal]

Also, FG = EG

[By construction]

=> G lies on the perpendicular bisector of EF in angle GIE = 90⁰ ... (4)

So, angle GAB = angle GIE = 90⁰

[Corresponding angles]

GF = GE

[Arcs of equal radii]

Video solution:

Constructions Class 9 Maths NCERT Chapter 11 NCERT Solutions

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Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
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Refer to Solution Video (if needed): If you encounter difficulty or are unable to solve a question, you can refer to the NCERT solution video on Constructions Class 9 Maths NCERT Chapter 11 to get a step-by-step explanation of the correct approach. Pay attention to the reasoning and methodology used in the video.
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Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 9 Maths Constructions Online Test on LearnoHub.com.
Review and Revise: Regularly review the concepts and solutions you've learned. Revise your notes and practice regularly to retain the knowledge effectively. You may refer Constructions Class 9 Maths Notes.
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NCERT solutions of Constructions Class 9 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 9 Maths Constructions NCERT solutions.