Rigid Motions and Symmetry: What Are Rigid Motions?

Explanations 3

• As you have seen before, an isometry is a congruence transformation, such as translation. That is, an isometry does not change the figure itself, it just moves it.

  By Freya Edholm

• All angles are a part of some triangle, and the image of the angle is one of the angles of the image of the triangle. By definition, an isometry preserves sidelengths, so by SSS…

  By Vinjai Vale

• Suppose that we have a rectangle ABCDABCDABCD with length lll and width www, and we map it by an isometry to another figure A′B′C′D′A'B'C'D'A′B′C′D′. What can we say about A′B′C…

  By Sujay Kazi