Question

Which of thr following transformation is not an isometey

Answer 1

dilation

Explanation:

Recall the meaning of isometry

In Geometry, an isometric geometric transformation (or isometry) is a shape-preserving transformation (movement) in the plane or in space.

Hence the isometric transformations can be reflection, rotation and translation and sometimes also combination of any two or all three.

But dilation means the sizes are either enlarged or shrunk to get a similar figure

Example is photograph of a man, the man will appear proportionally small in the photo

Hence isometry cannot be for dilation since sides in the image cannot be congruent to that of original.

SO answer is dilation

Answer 2

Option 3rd Dilation is the answer.

Explanation:

Isometry is the transformation that ever changes the shape of the figure or size of the figure.

So, Reflection does not change shape or size

So an isometry

Translation and rotation also does not change shape or size if the figure

Hence a isometry

Dilation changes size by shrinking or enlarging

Hence Not isometry.

Therefore option 3rd is correct.