Geometry

Geometry

Geometry

Exploring Shapes, Angles, and Measurements

This chapter builds students’ spatial understanding through the study of basic geometrical shapes and their properties. They learn about lines, line segments, rays, and different types of angles — right, acute, and obtuse. Students identify triangles, quadrilaterals, circles, explore symmetry and patterns, and calculate perimeter and area of simple figures such as squares and rectangles.

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Key Topics & Instructions

Chapter Objectives:
  • Understand lines, line segments, and rays.
  • Identify types of angles and their measures.
  • Classify and compare geometric shapes.
  • Calculate perimeter and area of squares and rectangles.
  • Recognize symmetry and patterns in objects.
How to Use:
  1. Use the first experiment to calculate perimeter and area.
  2. Use the second experiment to identify and measure angles.
  3. Review explanations to reinforce key geometry concepts.

Experiment 1: Perimeter and Area Calculator

Enter dimensions to calculate the perimeter and area of a rectangle or square.

Perimeter
30 cm
Area
50 cm²

Experiment 2: Angle Identifier

Enter an angle measure to identify its type.

Angle Type
Right Angle
Understanding Basic Shapes:

Geometric shapes such as triangles, rectangles, circles, and squares form the building blocks of geometry. Each shape has unique properties like sides, angles, and symmetry.

Angles and Measurements

1. Types of Angles:

Acute angle: less than 90°; Right angle: exactly 90°; Obtuse angle: between 90° and 180°; Straight angle: exactly 180°.

2. Perimeter and Area:

Perimeter = 2 × (length + breadth); Area = length × breadth. For a square, all sides are equal.

3. Symmetry:

A shape has symmetry if it can be divided into two equal halves that match exactly. For example, a square has four lines of symmetry.

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