Question

Which rule is an example of rigid transformation? 1. (x, 3y) 2. (2x, y+2) 3. (x−1, y−3) 4. (3x, y)

Answer 1

We know that

Rigid transformation:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"

so, it's length must be preserved

now, we will check each option

option-A:

we have (x,3y)

y-value changes but x-value will remain same

It changes length

so, this is not rigid transformation

option-B:

we have (3x,y)

x-value changes but y-value will remain same

It changes length

so, this is not rigid transformation

option-C:

(2x, y+2)

It changes length of x-value

but it is only shifting y-value

so, it changes length

so, this is not rigid transformation

option-D:

Both shifts values

but it's length will always be same

so, this is rigid transformation..............Answer