Translasi (Pergeseran) Matematika Kelas 9 || Mudah Tanpa Rumus

Introduction

This tutorial provides a clear and straightforward guide to understanding and solving problems related to geometric transformations, specifically focusing on translation. By following these steps, you’ll learn how to apply translation concepts without relying heavily on formulas, making it easier to tackle related math problems.

Step 1: Understanding Geometric Transformation

• Definition: Geometric transformation refers to the movement of geometric figures in a coordinate system.
• Types of Transformations: Common transformations include translation, rotation, and dilation.
• Importance: Understanding these transformations is essential in geometry, helping to visualize and manipulate shapes effectively.

Step 2: Grasping the Concept of Translation

• Translation Defined: Translation is the shifting of a geometric figure from one location to another without altering its shape or orientation.
• Visual Representation: Imagine moving a triangle three units to the right and two units up. The triangle retains its size and shape but changes its position.

Step 3: Notation and Direction of Translation

• Notation: Translation can be represented using ordered pairs. For example, moving a point (x, y) by (a, b) can be written as:
  • New position: (x + a, y + b)
• Direction:
  • Positive values for x indicate movement to the right.
  • Negative values for x indicate movement to the left.
  • Positive values for y indicate movement upward.
  • Negative values for y indicate movement downward.

Step 4: Applying the Translation Formula

• Basic Formula: To translate a point (x, y) by (a, b):
  • New coordinates:

    (x', y') = (x + a, y + b) 
    

• Example: If you want to translate the point (2, 3) by (4, -1):
  • New coordinates would be:

    (2 + 4, 3 - 1) = (6, 2)
    

Step 5: Quick Translation Techniques

• Visualization: Sketch the original position of the shape and its new position after translation. This helps in understanding the movement better.
• Practice with Examples: Work through multiple examples to reinforce your understanding. Consider varying the amounts of translation to see how the shape moves.

Conclusion

Translation in geometry is a fundamental concept that allows you to shift shapes without changing their properties. By mastering the notation, the basic formula, and practicing examples, you can confidently solve translation problems. For further learning, explore related transformations such as rotation and dilation using resources linked in the video description. Happy learning!