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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)

User Onychomys
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3.7k points

1 Answer

4 votes

Answer:

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

Explanation:

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

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

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

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

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
x=2.

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

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

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

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.

The point A (-7,5) is reflected over the line x = -5, and then is reflected over the-example-1
User Jim Richards
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3.6k points