Question

A reflection is a transformation that maps point A in a figure over a line, XY←→ , such that for point P at the intersection of XY←→ and AA′¯¯¯¯¯¯ , ____ and ____.

Answer 1

Sorry if you were looking for another answer but,

I can confirm the answer above is correct.

Answer 2

• point P is a midpoint of segment AA'
• XY is perpendicular to AA'

Explanation:

Consider given line XY and point A (see attached diagram for details).

To reflect point A over a line XY, you have to draw perpendicular line to the line XY passing through tha point A. This line intersects XT at point P. Then plot point A' such that A' lies on the line AP and AP=PA'.

Therefore,

• point P is a midpoint of segment AA'
• XY is perpendicular to AA'