RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3

Get the most accurate RBSE Solutions for Class 8 Mathematics Chapter 7 Construction of Quadrilaterals here. Updated for the 2026-27 academic session, these solutions are based on the latest RBSE textbooks for Class 8 Mathematics. Our expert-created answers for Class 8 Mathematics are available for free download in PDF format.

Detailed Chapter 7 Construction of Quadrilaterals RBSE Solutions for Class 8 Mathematics

For Class 8 students, solving RBSE textbook questions is the most effective way to build a strong conceptual foundation. Our Class 8 Mathematics solutions follow a detailed, step-by-step approach to ensure you understand the logic behind every answer. Practicing these Chapter 7 Construction of Quadrilaterals solutions will improve your exam performance.

Class 8 Mathematics Chapter 7 Construction of Quadrilaterals RBSE Solutions PDF

 

Question 1. Construct a quadrilateral ABCD in which AB = BC = 3.0 cm, AD = CD = 5.0 cm and ∠ABC = 120°.
Answer:

A B C D 3.0 cm 3.0 cm 5.0 cm 5.0 cm 120° Rough Sketch Steps of Construction: 1. First, draw a line segment AB = 3.0 cm. 2. At point B, use a pencil and compass to construct ∠ABX = 120° with AB. 3. From BX, cut an arc of 3 cm to mark point C. 4. From point A, draw an arc of radius 5 cm. From point C, draw another arc of radius 5 cm. 5. The intersection of these arcs is point D. Join AD and CD. This completes the required quadrilateral ABCD.


In simple words: To draw this shape, first make the bottom line AB. Then, at point B, draw an angle of 120 degrees and mark point C on that line. Finally, use a compass to find point D by drawing arcs of 5 cm from both A and C, then connect D to A and C.

🎯 Exam Tip: Always start by drawing a rough sketch to visualize the quadrilateral. Use a sharp pencil and accurate compass settings for precise constructions.

 

Question 2. Construct a quadrilateral PQRS where PQ = 2.8 cm, PS = 3.3 cm, QR = 3.1 cm, SR = 2.6 cm and ∠P = 60°.
Answer:

P Q R S 2.8 cm 3.3 cm 3.1 cm 2.6 cm 60° Rough Sketch Steps of Construction: 1. Draw a line segment PQ = 2.8 cm. 2. At point P, construct an angle ∠QPX = 60° with PQ using a pencil and compass. 3. On the ray PX, cut an arc of radius 3.3 cm from P to mark point S. 4. From point S, draw an arc with a radius of 2.6 cm. 5. From point Q, draw an arc with a radius of 3.1 cm. 6. The intersection of these two arcs is point R. Join SR and QR. This forms the required quadrilateral PQRS.


In simple words: Start by drawing the base PQ. At point P, make an angle of 60 degrees and mark point S at a distance of 3.3 cm. Then, from S and Q, draw arcs with their respective lengths (2.6 cm and 3.1 cm) to find point R. Connect the points to complete the shape.

🎯 Exam Tip: When constructing quadrilaterals with specific side lengths and one angle, always build upon the known angle first. This helps to accurately position the other vertices.

 

Question 3. Construct a rectangle whose sides are 4.2 cm. and 2.5 cm. Measure its diagonal lengths.
Answer:

A B C D 4.2 cm 4.2 cm 2.5 cm 2.5 cm 4.9 cm 4.9 cm Rough Sketch Steps of Construction: 1. Draw a line segment AB = 4.2 cm. 2. At point A, construct an angle ∠BAX = 90° using a pencil and compass. 3. From the ray AX, cut an arc of 2.5 cm to mark point D. 4. Similarly, at point B, construct an angle ∠ABY = 90° with AB. 5. From the ray BY, cut an arc of 2.5 cm to mark point C. 6. Join CD. This forms the required rectangle ABCD. 7. Measure the diagonal lengths: AC = 4.9 cm and BD = 4.9 cm.


In simple words: First, draw the base line. Then, at both ends of the base, draw straight lines going up at 90 degrees. Mark the height on these lines. Connect the top two points to finish the rectangle. When you measure, both long lines going from corner to corner (diagonals) will be 4.9 cm. Rectangles always have equal diagonals.

🎯 Exam Tip: Remember that all angles in a rectangle are 90 degrees, and opposite sides are equal. The diagonals of a rectangle are also always equal in length.

 

Question 4. Construct a rhombus in which one angle is 75° and one side is 5.2 cm.
Answer:

A B C D 5.2 cm 5.2 cm 5.2 cm 5.2 cm 75° Rough Sketch Steps of Construction: 1. Draw a line segment AB = 5.2 cm. 2. At point B, construct an angle ∠ABX = 75° with AB using a pencil and compass. 3. On the ray BX, cut an arc of 5.2 cm from B to mark point C. 4. From point C, draw an arc with a radius of 5.2 cm. 5. From point A, draw another arc with a radius of 5.2 cm. 6. The intersection of these two arcs is point D. Join AD and CD. This creates the required rhombus ABCD.


In simple words: Start by drawing one side of 5.2 cm. At one end of this line, draw an angle of 75 degrees and mark the next point also 5.2 cm away. Then, use a compass to draw arcs of 5.2 cm from the two newly marked points. Where these arcs meet, that's the last corner. Connect all points to form the rhombus. A rhombus has all four sides equal in length.

🎯 Exam Tip: Remember that all four sides of a rhombus are equal. Once you've established two adjacent sides and an angle, the rest of the construction relies on simply drawing arcs of the same side length from the new points.

 

Question 5. Draw a square with one side of 5 cm.
Answer:

A B C D 5 cm 5 cm 5 cm 5 cm Rough Sketch Steps of Construction: 1. Draw a line segment AB = 5 cm. 2. At point B, construct an angle ∠ABX = 90° using a pencil and compass. 3. From the ray BX, cut an arc of 5 cm from B to mark point C. 4. From point A, draw an arc with a radius of 5 cm. 5. From point C, draw another arc with a radius of 5 cm. 6. The intersection of these two arcs is point D. Join CD and AD. This completes the required square ABCD.


In simple words: To draw a square, first make one straight line (the base) that is 5 cm long. At one end of this line, draw a perfect 90-degree angle going upwards. Mark a point on this new line, also 5 cm away. Then, use your compass to draw arcs of 5 cm from the top two points. Where these arcs meet will be the last corner of your square. Connect all corners to finish the square. All four sides and all four angles (90 degrees) will be equal.

🎯 Exam Tip: For a square, remember that all sides are equal and all internal angles are 90 degrees. You can use two 90-degree constructions or a 90-degree and two arcs to complete it.

Free study material for Mathematics

RBSE Solutions Class 8 Mathematics Chapter 7 Construction of Quadrilaterals

Students can now access the RBSE Solutions for Chapter 7 Construction of Quadrilaterals prepared by teachers on our website. These solutions cover all questions in exercise in your Class 8 Mathematics textbook. Each answer is updated based on the current academic session as per the latest RBSE syllabus.

Detailed Explanations for Chapter 7 Construction of Quadrilaterals

Our expert teachers have provided step-by-step explanations for all the difficult questions in the Class 8 Mathematics chapter. Along with the final answers, we have also explained the concept behind it to help you build stronger understanding of each topic. This will be really helpful for Class 8 students who want to understand both theoretical and practical questions. By studying these RBSE Questions and Answers your basic concepts will improve a lot.

Benefits of using Mathematics Class 8 Solved Papers

Using our Mathematics solutions regularly students will be able to improve their logical thinking and problem-solving speed. These Class 8 solutions are a guide for self-study and homework assistance. Along with the chapter-wise solutions, you should also refer to our Revision Notes and Sample Papers for Chapter 7 Construction of Quadrilaterals to get a complete preparation experience.

FAQs

Where can I find the latest RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 for the 2026-27 session?

The complete and updated RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 is available for free on StudiesToday.com. These solutions for Class 8 Mathematics are as per latest RBSE curriculum.

Are the Mathematics RBSE solutions for Class 8 updated for the new 50% competency-based exam pattern?

Yes, our experts have revised the RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 as per 2026 exam pattern. All textbook exercises have been solved and have added explanation about how the Mathematics concepts are applied in case-study and assertion-reasoning questions.

How do these Class 8 RBSE solutions help in scoring 90% plus marks?

Toppers recommend using RBSE language because RBSE marking schemes are strictly based on textbook definitions. Our RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 will help students to get full marks in the theory paper.

Do you offer RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 in multiple languages like Hindi and English?

Yes, we provide bilingual support for Class 8 Mathematics. You can access RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 in both English and Hindi medium.

Is it possible to download the Mathematics RBSE solutions for Class 8 as a PDF?

Yes, you can download the entire RBSE Solutions Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3 in printable PDF format for offline study on any device.