Math Example--Geometric Transformation--Transformations: Example 39

Topic

Transformations

Description

This example demonstrates a single rotation in geometric transformations. The image shows a hexagon on a grid, with a "Before" and "After" transformation. A pushpin indicates the axis of rotation, and only one transformation occurs. This illustrates how an object can change its orientation without altering its size or shape.

Geometric transformations are a key concept in mathematics, allowing us to understand how shapes can be manipulated on a coordinate plane. This collection of examples helps teach transformations by providing clear visual representations of various types of transformations. By observing these changes on a grid, students can better comprehend how shapes can be rotated while preserving their size and shape.

Presenting multiple worked-out examples is essential for students to fully grasp the concept of geometric transformations. Each example reinforces the concept while introducing slight variations, allowing students to recognize patterns and develop a more comprehensive understanding. This approach helps students build confidence in applying transformations to different scenarios and prepares them for more complex geometric problems.

Teacher's Script: Look at how the hexagon turns around the point marked by the pushpin. This is called a rotation. Notice that the shape doesn't change size or move away from the rotation point -- it just turns. Can you describe how much the hexagon has rotated? What would happen if we rotated it again by the same amount?

For a complete collection of math examples related to Transformations click on this link: Math Examples: Transformations Collection.