Mastering Geometrical Constructions

High school math that covers Geometrical Constructions in detail - Unleashing the Artistry of Geometry

Created byLakshmi Narayana

Last updated 6/2023

English

What you'll learn

Division of a line Segment in a given ration: (a) Internally (b) Externally
Construction of a Triangle Similar to Given Triangle when m/n < 1 or m < n.
Construction of a Triangle Similar to Given Triangle when m/n > 1 or m > n
Construction of Tangents to a Circle.
Construction of a Tangent to a circle at a Given Point.
Construction of a Tangent to a Circle from a Point Outside the Circle.
Construction of Tangents to a Circle when angle between them is given.
Construction of a Quadrilateral Similar to a Given Quadrilateral .
At the end of the course, students will not only have learned about the topics in detail but also be able to draw various constructions based on them.
Covers the complete NCERT chapter Constructions(CBSE Math Class 10), solved exercises.

Course content

7 sections • 34 lectures • 5h 28m total length

Introduction10:51
Introduction
Q 18:13
Draw a line segment AB of length 7 cm. Using ruler and compasses, find a point P on AB such that AP/AB = 3/5
Q 27:39
Draw a line segment of length 5 cm and divide it in the ratio 3: 7.
Q 38:21
Draw a line segment of length 8 cm and divide it internally in the ratio 4: 5.
Test your understanding
Home Assignment

Introduction6:29
Construction of a Triangle Similar to Given Triangle when m/n > 1 or m > n
Q 110:59
Construct a triangle similar to a given triangle ABC with its sides equal to 3/4 of the corresponding sides of the triangle ABC (i.e., of scale factor 3/4).
Q 210:29
Construct an isosceles triangle ABC with base BC = 6 cm, AB = AC and ∠A = 90°. Draw another similar triangle whose sides are 4/5 times of the sides of △ABC. Justify your construction.
Q 37:02
Construct a triangle with BC = 7cm, ∠B = 45° and ∠C = 60°. Then, construct a similar triangle to its whose sides are 3/5 times of the corresponding sides of the given triangle.
Test your understanding
Home Assignment

Introduction6:10
Construction of a Triangle Similar to Given Triangle when m/n > 1 or m > n
Q 110:45
Construct a triangle similar to a given triangle ABC with its sides equal to 5/3 of the corresponding sides of the triangle ABC (i.e., of scale factor 5/3).
Q 28:12
Draw a right triangle in which the sides (other than hypotenuse) are of lengths 5 cm and 4 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.
Q 39:29
Draw a triangle ABC with side BC = 7 cm, ∠B = 450, ∠A = 105°. Then construct a triangle whose sides are 4/3 times the corresponding sides of ∆ABC.
Test your understanding
Home Assignment

Introduction2:06
Construction of Tangents to a Circle
Q 14:30
Draw a circle of diameter AB = 6 cm with centre O and then draw a tangent to the circle at point A or B.
Q 26:02
Draw a circle of radius 4cm from a point P, 7cm from the centre of the circle, draw a pair of tangents to the circle measure the length of each tangent segment.
Q 35:25
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on the outer circle, construct the pair of tangents to the inner circle.
Q 47:11
Draw a circle of radius 4 cm. Take two points P and Q on one of its extended diameters, each at a distance of 9 cm from its centre. Draw tangents to the circle from these two points P and Q.
Q 57:27
Draw a pair of tangents to a circle of radius 3 cm which are inclined to each other at angle of 60°
Test you understanding
Home Assignment

Q 112:29
Draw a line segment of length 7.6 cm and divide it in the ratio 5: 8. Measure the two parts.
Q 214:13
Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are 2/3 of the corresponding sides of the first triangle.
Q 316:05
Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are 7/5 of the corresponding sides of the first triangle.
Q 413:57
Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 1(1/2) times the corresponding sides of the isosceles triangle.
Q 516:09
Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct a triangle whose sides are 3/4 of the corresponding sides of the triangle ABC.
Q 615:58
Draw a triangle ABC with side BC = 7 cm, B = 45°, A = 105°. Then, construct a triangle whose sides are 4/3 times the corresponding sides of D ABC.
Q 715:08
Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

Q 110:31
Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
Q 211:58
Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.
Q 311:30
Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.
Q 411:13
Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.
Q 58:47
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
Q 610:52
Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and B = 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle.
Q 79:31
Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Requirements

Elementary knowledge of basic Geometry.
Basic knowledge of using a ruler, compasses, and protractor.
Each chapter is inbuilt with prerequisite knowledge classes where the child gets immense knowledge and a clear understanding of the chapters.

Description

Underaged students must not purchase the course directly. It must be purchased by adult, and any underaged student pursuing course must be supervised by adult.

This course is designed for all middle school and high school students. This course is intended for students under 18 may use the services only if a parent or guardian opens their account, handles any enrolments, and manages their account usage. This course is carefully designed to explain various applications of Geometry - Constructions.
It has 34 lectures spanning around five and half hours of on-demand videos that are divided into 5 sessions. The course is divided into a simplified day-by-day learning schedule.
Each topic is divided into simple sessions and explained extensively by solving multiple questions. Each session contains a detailed explanation of the concept.
An online test related to the concept for immediate assessment of understanding.
Session-based daily home assignments with a separate key. The students are encouraged to solve practice questions and quizzes provided at the end of each session.
This course will give you a firm understanding of the fundamentals and is designed in a way that a person with little or no previous knowledge can also understand very well.
It covers 100% video solutions of the NCERT exercises , with selected NCERT exemplars and R D Sharma.
Our design meets the real classroom experience by following classroom teaching practices. We have designed this course by keeping in mind all the needs of students and their desire to become masters in math. This course is designed to benefit all levels of learners and will be the best gift for board-appearing students. Students love these easy methods and explanations. They enjoy learning maths and never feel that maths is troublesome.

Topics covered in the course:

Division of a line Segment in a given ration: (a) Internally (b) Externally
Construction of a Triangle Similar to Given Triangle when < 1 or m < n.
Construction of a Triangle Similar to Given Triangle when > 1 or m > n
Construction of Tangents to a Circle.
Construction of a Tangent to a circle at a Given Point.
Construction of a Tangent to a Circle from a Point Outside the Circle.
Construction of Tangents to a Circle when angle between them is given.
Construction of a Quadrilateral Similar to a Given Quadrilateral .

With this course you'll also get:

Perfect your mathematical skills on Geometrical Constructions.
A Udemy Certificate of Completion is available for download.

Feel free to contact me with any questions or clarifications you might have.

I can't wait for you to get started on mastering the real number systems.

I look forward to seeing you on the course! :)

Benefits of Taking this Course:

On completion of this course, one will have detailed knowledge of the chapter and be able to easily solve all the problems, which can lead to scoring well in exams with the help of explanatory videos ensure complete concept understanding.

Downloadable resources help in applying your knowledge to solve various problems.

Quizzes help in testing your knowledge. In short, one can excel in math by taking this course.

Who this course is for:

Students studying for the public or other competitive examinations.
All boards students of middle and high school.
Home-school parents looking for extra support with the fundamentals.
Anyone interested in revising or learning the basics of mathematics should.
Students in junior high and high school/secondary schools.
Students studying for the CBSE, ICSE, SSC, GCSE, IGCSE, SAT, ACT, GRE, or other competitive examinations.
Anyone who wants to study math for fun after taking a break from school.
It will also benefit schools who wish to run classes in the absence of a teacher and make learning fun for their students.

Mastering Geometrical Constructions

What you'll learn

Explore related topics

Course content

Session 14 lectures • 35min

Session 24 lectures • 35min

Session 34 lectures • 35min

Session 46 lectures • 33min

Session 52 lectures • 13min

Exercise 11.17 lectures • 1hr 44min

Exercise 11.27 lectures • 1hr 14min

Requirements

Description

Who this course is for: