Question

A sequence of a translation and a reflection sometimes has a point that does not change position.

A. Always
B. Sometimes
C. Never
D. Not enough information provided.

Answer 1

The sequence of a translation and a reflection can sometimes have a point that does not change position.

Step-by-step explanation:

The answer to the question is option B. Sometimes.

A sequence of a translation and a reflection can sometimes have a point that does not change position. This occurs when the translation and reflection results in the point being mapped onto itself.

For example, consider a point A at coordinates (2,5) on a coordinate plane. If we translate the point by moving it three units to the left, it will be at coordinates (-1,5). If we then reflect it over the y-axis, it will return to its original position at coordinates (2,5).