Chapter 11.5, Problem 21HP

To determine

To determine the similarities and differences between reflection and rotation

Explanation of Solution

Given:

Reflection and rotation

Reflection:

Reflection is mirror image of an object by flipping the figure across a line without changing in size of its sides or shape.

  

The figures show reflection of a point and of a shape respectively.

As from the above figures it can be concluded that the points have same value same unit and $y$ axis and $x$ axis works as a mirror respectively here.

Rotation:

It is defined as rotation of an object about a fixed point without changing its size of its sides and shape.

  

The figure shows rotation of an object about a fixed point without changing its size.

As from the figure, it can be concluded that the rotation of the object is about the point $y$ and here also there is no change in shape or size of the object.

Conclusion:

Therefore, both reflection and rotation are different, but shares some basic similarities with each other.