Unit 17: Practical Geometry – Triangles! In this unit, we will delve into the fascinating world of practical geometry, where we will learn to construct various triangles, rectangles, squares, and more. These geometrical constructions are not only essential in our everyday lives but also find applications in various occupations, such as woodworking, graphic art, and metal trade.
Exercise 17.1
Exercise 17.2
Exercise 17.3
- Chapter No.1 Introduction to Biology
- Chapter No. 2 Solving a Biological Problem
- Chapter No.3 Biodiversity
- Chapter No.4 Cells and Tissues
- Chapter No.5 Cell Cycle
Exercise 17.4
Exercise 17.5
Review Exercise
Section 17.1: Construction of Triangles
In this section, we will focus on constructing triangles based on given information:
Construction with Given Sides and Included Angle: Students will learn how to construct a triangle when given two sides and the included angle.
Construction with Given Side and Two Angles: In this part, students will explore the process of constructing a triangle with one side and two of its angles.
Construction with Two Sides and Angle Opposite: We will learn how to construct a triangle when given two sides and the angle opposite to one of them. There are three possible cases to explore in this construction.
Construction of Triangle Properties: Students will draw various properties of a given triangle, such as angle bisectors, altitudes, perpendicular bisectors, and medians, and verify their concurrency.
Section 17.2: Figures with Equal Areas
This section focuses on constructing figures with equal areas:
Construction of Triangle Equal in Area to a Quadrilateral: Students will learn how to construct a triangle that has the same area as a given quadrilateral.
Construction of Rectangle and Square Equal in Area to a Triangle: In this part, we will explore how to construct a rectangle and a square that have the same area as a given triangle.
Construction of Equivalent Area Triangle on a Given Base: Students will learn how to construct a triangle with an equivalent area on a base of given length.
Unit 17: Practical Geometry – Triangles is an exciting module in the geometry curriculum, providing students with valuable insights into the art of geometrical constructions. By mastering these constructions, students will not only enhance their geometric skills but also develop a practical understanding of geometry’s real-world applications.
The knowledge gained from this unit extends beyond geometry, as practical geometry is a fundamental tool in various artistic and technical fields. The ability to create accurate and proportional figures using geometrical tools empowers students to bring their creative ideas to life.
As students progress through this unit, they will develop a deeper appreciation for the beauty and precision of geometrical constructions and their applications in art, engineering, and design. The skills acquired in this unit will pave the way for further exploration of advanced geometry concepts and instill a sense of wonder and curiosity in the captivating world of mathematics.