3) Practice: Drawing Inferences Fill in the blanks in the list. 1. Why are they called congruence transformations?

Congruence transformations are like magical makeovers for shapes! They keep the size and shape the same while changing their position or orientation. This can be things like flipping, rotating, or sliding a shape around without altering its fundamental characteristics. So, whether it’s a triangle or a square, congruence transformations ensure that what you start with is essentially the same as what you end up with—just in a different spot! These transformations serve as a foundational concept in geometry, allowing students and mathematicians alike to understand the relationships between different shapes. They are not only crucial for proofs and theorems but are also used in various fields, from computer graphics to architecture, where maintaining proportions and dimensions is essential. So next time you see a well-oriented design, remember, congruence transformations might have played a part!