Answer:
Statement 1. XA ≡ XY is incorrect.
Step-by-step explanation:
When we use the compass to construct two equidistant points from a point P then we get points X and Y.
In other words XP ≡ PY
Similarly, when we mark arcs from point X and point Y with a fixed length, we get a point of intersection of arcs at point A.
This point A will be equidistant from points X and Y.
Therefore, XA ≡ XY
But in any condition length PX will not be equal to PY.
Now we are sure that option 1. XA ≡ XY will not be correct.
Therefore, Option 1. XA ≡ XY is incorrect.