The point A (-7,5) is reflected over the line x = -5, and then is reflected over the line x= 2. What are the coordinates of
A?
o (7, 19)
O (10,5)
(7,5)
(10, 19)

Question

contestada

Respuesta :

isyllus isyllus · Answer 1 · 2020-06-28T04:29:29+02:00

Answer:

(7, 5) is the final reflection of the point.

Step-by-step explanation:

We are given point A(-7, 5) which is first reflected over the line [tex]x= -5[/tex].

The minimum distance of the point A(-7, 5) from the line [tex]x= -5[/tex] is 2 units across the horizontal path (No change in y coordinate).

Point A lies 2 units on the left side of the line [tex]x= -5[/tex].

So, its reflection will be 2 units on the right side of [tex]x= -5[/tex].

Let its reflection be A' which has coordinates as (-5+2,5) i.e. (-3, 5).

Now A'(-3, 5) is reflected on the line [tex]x=2[/tex].

The minimum distance of the point A'(-3, 5) from the line [tex]x=2[/tex] is 5 units across the horizontal path (No change in y coordinate).

Point A' lies 5 units on the left side of the line [tex]x=2[/tex].

So, its reflection will be 5 units on the right side of [tex]x=2[/tex].

Let its reflection be A'' which has coordinates as (2+5, 5) i.e (7, 5) is the final reflection of the point..

Please find attached image.

(7, 5) is the final reflection of the point.