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CBSE Class 10 Maths Worksheet Chapter 11 Construction - PDF

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Last updated date: 27th Feb 2024
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IVSAT 2024

CBSE Maths Construction Class 10 - Download Free PDF

Construction forms the basis of many geometrical concepts in Maths and Architecture. Every building you see around, like schools, houses, libraries, movie halls, etc., is created by applying mathematical concepts of construction and design. The basic shapes, lines, and angles are drawn through geometrical construction using a ruler, pencil, and compass. This is the purest form of geometric construction where numbers are not involved.


In the Class 10 Construction chapter, students would learn how to divide a line segment into certain ratios and the different methods and steps involved in this construction. Apart from dividing line segments, students also learn how to construct triangles of different types, tangents to a circle, and other related topics. Students also get to practice a variety of questions in the Constructions class 9 worksheet, which has many types of questions such as Maths Construction MCQ, calculation of the length of tangents, questions on properties and size of different types of triangles, and so on.


CBSE Class 10 Maths Worksheet Chapter 11 Construction - PDF will be uploaded soon

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Importance of Class 10 Construction

Geometrical construction is an extremely valuable topic for Maths students. Using simple tools such as rulers, compasses, pencils, etc., we can draw a plethora of shapes such as lines, circles, arcs, angles, polygons, and numerous other geometric figures.

  • Geometrical constructions are the foundation of architecture. With construction, architects can decide what material to use, which design to choose, how much material will be used, etc.

  • Construction tools such as scales, compasses, measuring tape, etc., are also used in astronomy for understanding the location of different planets in the solar system. Geometrical construction also aids in many significant findings and calculations in astronomy, such as velocity, volume, and area of heavenly bodies.

  • Different shapes of art forms are created by constructing and joining different geometric shapes.

  • Engineers and builders use geometry to calculate volume and area before they decide on constructing different structures.

  • By learning construction, you improve not only your mathematical skills but also logical reasoning and problem-solving capabilities.


Examples of Constructions Class 9 Worksheet

Constructions class 10 PDF as a variety of questions, and some of them are illustrated below:

  • Math class 10 Construction questions

    • Draw a segment of line AB of length 10 cm and then divide it in a ratio of 2:5. Measure both the parts.

    • Draw triangle PQR where PQ = 8 cm, RQ = 7 cm, and then another triangle ABC, which is similar to PQR, and its 2 side is \[ \frac{2}{3} \] rd of the corresponding side of the triangle PQR.

    • Construct an isosceles triangle whose base is 5 cm, and equal sides measure 6 cm. Then, construct another triangle whose sides correspond to 6/5 th of the first triangle.

    • Draw a circle with a radius of 4 cm. Now take a point P 6 cm away from the centre of the circle and draw two tangents from P to the circles.

  • Maths Construction MCQ

    • If you draw a tangent of length 8 cm to a circle of radius of 6 cm, then what is the distance of the point (from where the tangent is drawn) to the centre of the circles?

      • 11 cm

      • 10 cm

      • 9 cm

      • 8 cm

    • A line XY is divided by a point P such that XP = 4.5 cm and XP: PY = 3: 2. Find the length of the line XY:

      • 8 cm

      • 8.5 cm

      • 7 cm

      • 7.5 cm


Interesting Facts About Geometrical Constructions

  • Egyptians developed the first concept of geometry. It dates back to 3000 BC when ancient Egyptians used many geometric equations for calculating the area of a circle, etc.

  • Ancient Greek mathematicians first conceived the compass and straight-edge constructions. With these tools, they were able to construct additions, subtractions, ratios, products, and square roots of a given length.

  • Geometry comes from two Greek words; "Geo," which means "Earth," and "metria," which means "measure." In other words, it is the measurement of the Earth.

  • Euclid, a Greek mathematician who lived in 300 BC, is referred to as the ‘Father of Geometry’.


Important Topics in Constructions Class 10 PDF

  • Dividing a line segment in different proportions by applying different methods.

  • Construct a triangle that is similar to another triangle having a given scale.

  • Construct tangents to circles and measure their length or distance of the point from the center of the circle.

  • Complete a number of practice constructions class 9 worksheets on the above topics.


Get All Concepts Clarified About Math Class 10 Construction With Our Free Constructions Class 10 PDF

  • Vedantu's team of experienced teachers has accurately designed the Constructions Class 10 PDF, which explains the concepts as well as makes it clear with many solved examples.

  • You can revise anytime and from anywhere on the go by downloading the Constructions Class 9 worksheet PDF on your devices.

  • Those who look for a handy revision sheet right before exams can also utilise the printable form of the class 10 Construction PDF.


Construction of geometric figures such as line segments, triangles, tangents to circles, etc. form the basis of geometry and is an extremely vital topic for class 10 students. So, master this chapter with the well-formulated content of Vendatu’s team.

FAQs on CBSE Class 10 Maths Worksheet Chapter 11 Construction - PDF

1. What are geometry and geometric constructions?

Geometry is a branch of Maths that primarily deals with sizes, shapes, and spaces. It has many subdivisions, and the major ones are:

  • Plane Geometry - You learn basic shapes such as points, lines, and various planes such as rectangles, squares, circles, triangles, etc.

  • Solid Geometry - This deals with complicated calculations such as area, perimeter, volume, etc., of geometric figures. This also includes calculations of circle radii and arc lengths.

2. What are the steps of dividing a line segment of length l cms into a ratio of x:y?

The main steps in performing division of line segment in a given ratio are:

  • Step 1 - Draw a line PQ of length l cms.

  • Step 2 - Draw a line PR of any length so that it makes an acute angle with the line segment PQ.

  • Step 3 - On a compass use any small length to mark x+y number of points (p1, p2, p3, ….p(x+y)) of equal sizes on PR such that Pp1 = Pp2 = Pp3 = Pp4 = …= Pp(x+y)

  • Step 4 - Join Q to Pp(x+y) to form line Qp(x+y)

Draw a line from point p1 to line PQ, which is parallel line Qp(x+y) and intersects PQ at point K. Now PK: KR = x:y.

3. What is a straightedge tool?

Straight edge tools are used for either drawing straight lines or checking how straight a line is. Any job that demands high accuracy is done by using the straight edge tool.