A(-5,-4) ——> A’ is a glide reflection where the translation is (x,y)—->(x+6,y), and the line of reflection is y=3. What are the coordinates of A’?A. (1,-4)B. (-5,2)C. (1,10)D. (11,2)
Accepted Solution
A:
Solution:The Point in the coordinate plane is A(-5,-4).Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is [tex]=\sqrt{(-5+5)^2+(3+4)^2}\\\\=7[/tex]When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).Now, the Point B is translated by the rule , (x,y)—->(x+6,y), So,the point B is translated to, (-5+6,10)=(1,10)Option C: (1,10) is the glide reflection of point A(-5,-4).