Question

1 what is a rigid transformation?
a a change that stretches or shrinks a figure
b a transformation that changes the shape of a figure
c a transformation that does not change (preserves) the size and shape of a figure
d a transformation that flips a figure and changes its size

Explanation:

To determine the correct answer, we analyze each option based on the definition of a rigid transformation. A rigid transformation (also called an isometry) is a transformation that preserves the size and shape of a figure.

• Option A describes a dilation (non - rigid), which changes the size.
• Option B is incorrect as rigid transformations do not change the shape.
• Option D is incorrect because a flip (reflection) is a rigid transformation but it does not change the size, and the option says it changes the size.
• Option C matches the definition of a rigid transformation as it states that the transformation preserves the size and shape.

Answer:

C. A transformation that does not change (preserves) the size and shape of a figure