# CBSE Class 10 Maths Constructions

Constructions is the chapter dealing with practical geometry in CBSE Class 10 Maths. Students get to learn about constructing similar triangles, dividing a line segment into two or more parts, drawing tangents to a circle, drawing a tangent to a circle from a point outside the circle, and drawing a tangent to a circle from a point on the circle. This chapter in CBSE Class 10 Maths was brought to engage students in dealing with practical geometry concepts and enjoying mathematics while studying. Therefore, this chapter in practical geometry is both theoretical and practical.

The NCERT CBSE Class 10 Maths textbook contains 15 chapters, their concepts and fundamentals, solved numerical and unsolved practice problems. These 15 chapters include Real Numbers, Arithmetic Progression, Surface Areas and Volumes, Statistics, Constructions, Trigonometry, Probability, Applications of Trigonometry, and many more. These chapters are the fundamentals for starting a professional career, which students must by heart to excel in their upcoming futures. In case of difficulties, they must practice and seek guidance from our experts at CBSE Class 10 plans anytime.

TopperLearning provides a wide range of study resources ranging from the latest syllabus for CBSE Class 10, well-structured and detailed notes, problem-solving understandable videos, latest patterned sample papers, previous year question papers, short answer questions for revision, and much more. Our subject specialists prepare these study materials and are accessible by students after they sign up for our CBSE Class 10 plans.

CBSE Class 10 plans also offer students to prepare for their board exams and make strategies to score more. If bright minds face any trouble regarding any portion of the CBSE Class 10 syllabus, they can reach out to the subject experts at TopperLearning anytime. Furthermore, our subject experts will guide you through every step of scoring more in your exams, irrespective of the students' board. So, sign up at our CBSE Class 10 plans to quickly access all the study materials and prepare.

#### Division of a Line Segment

Division of a line Segment#### Constructions of Similar Triangles

Scale factor is the ratio of the size of the new figure (which will be constructed) to that of the given figure.

The scale factor may be < 1 or > 1.

If the scale factor is < 1, then the new figure will be smaller in size to the given figure.

If the scale factor is > 1, then the new figure will be greater in size to the given figure.

Taking scale factor into consideration we divide a line segment in the specified ratio and use it to draw a triangle, similar to a given triangle, with sides proportional to the sides of given triangle.#### Construction of Tangents

A tangent is perpendicular to the radius through the point of contact.

Number of tangents from a point on the circle is only one.

Number of tangents from a point outside the circle is two.

The two tangents to the circle from a point outside the circle are equal in length.

## CBSE Class 10 Textbook Solutions, Videos, Sample Papers & More

It is crucial to revise whatever students learn while preparing for their board exams. To meet this requirement, students can check our CBSE Class 10 Constructions Important Questions, CBSE Class 10 Constructions MCQs and CBSE Class 10 Constructions Short Answer Questions sections to revise the chapter thoroughly and ensure they have not missed any topic for their board exam. These sections are in the form of tests, which students can try to test their preparation levels.

Aspirants must take tests before their exam to habituate how they will manage their exam in reality. By taking our CBSE Class 10 Weekly Tests and CBSE Class 10 Maths Practice Test, students can decide which section to attempt first and how to manage time for individual questions and sections. By time management, students gain more confidence by attempting the entire question paper within the allotted time. Moreover, these tests display the test score instantly so that students can work on their wrong answers.