Why is a rigid motion also called a congruence transformation?

The transformation does not change the size or shape of the figure Therefore, the transformation appears to be a rigid motion. The transformation changes the shape of the figure. Therefore, the transformation does not appear to be a rigid motion.

Step-by-step explanation:

Recall that a rigid motion is that that preserves the distances while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types. Therefore, for the translation to be considered "rigid" the two figures must be congruent by definition of a rigid motion.

Hope this helps!

~Mia

step-by-step explanation:

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