Question

Which transformations are nonrigid transformations?

a. Dilation
b. Reflection
c. Rotation
d. Stretch
e. Translation

Answer 1

Nonrigid transformations are dilation and stretch because they do not maintain distances proportionally and can change the shape of the object.

Step-by-step explanation:

The transformations that are considered nonrigid transformations are those that do not preserve distance and shape. Among the options provided, dilation and stretch are nonrigid transformations.

• Dilation changes the size of the figure while maintaining the shape, which means that it does not preserve distances proportionally.
• Stretch will also change the size of an object, but typically in one direction only, which does not preserve distances or the original shape.

On the other hand, reflection, rotation, and translation are considered rigid transformations because they preserve both distances and shapes.