What are transformations and the different types

The video tutorial discusses transformations in geometry, focusing on congruent transformations where the shape and size remain unchanged. It covers three main types: translation, reflection, and rotation. Translation involves sliding a figure using a translation vector. Reflection flips a figure over a line of symmetry. Rotation turns a figure around a point, often the origin, and can be clockwise or counterclockwise. The tutorial emphasizes that these transformations alter the position and orientation but not the shape or size of the figures.

What is the significance of the line of symmetry in reflections?

How does rotation differ from translation and reflection?

What are the key characteristics of the pre-image and the new image after transformations?