Question

Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image?

(7, -3)
(11, -3)
(-7, 7)
(7, 3)

Answer 1

(11, -3).

Explanation:

The line x = 2 is a vertical line passing through the point (2, 0).

The x coordinate of -7 is 2-(-7) = 9 units from the line x = 2 so it reflects to

2 + 9 = 11 .

The y coordinate will remain the same .

Answer 2

(11, - 3 )

Explanation:

x = 2 is a vertical line parallel to the y- axis

Under a reflection in this line the y- coordinate remains unchanged.

The point (- 7, - 3 ) is 9 units from x = 2, that is 2 - (- 7) = 2 + 7 = 9

Thus the reflection will be 9 units to the right of x = 2

That is 2 + 9 = 11, thus

T(- 7, - 3 ) → T'(11, - 3 )