Question

The horizontal axis ranges from negative 13 to 1. The vertical axis ranges from negative 1 to 13. Triangle upper P upper Q upper R has vertices as follows upper P negative 8 comma 9, upper Q negative 12 comma 7, and upper R negative 11 comma 1. The vertical line of reflection is x equals negative 7.


Item Long DescriptionThe horizontal axis ranges from negative 13 to 1. The vertical axis ranges from negative 1 to 13. Triangle upper P upper Q upper R has vertices as follows upper P negative 8 comma 9, upper Q negative 12 comma 7, and upper R negative 11 comma 1. The vertical line of reflection is x equals negative 7.

Triangle PQR
𝑃
𝑄
𝑅
is reflected over a vertical line of reflection to create triangle P′Q′R′
𝑃
′
𝑄
′
𝑅
′
. What are the coordinates of point R′
𝑅
′
?(−3, 1)
(
−
3
,

1
)
left parenthesis negative 3 comma space 1 right parenthesis

(−2, 7)
(
−
2
,

7
)
left parenthesis negative 2 comma space 7 right parenthesis

(11, 1)
(
11
,

1
)
left parenthesis 11 comma space 1 right parenthesis

(1, −3)

Answer 1

Reflecting R(-11, 1) across the vertical line x = -7 gives x' = 2(-7) - (-11) = -14 + 11 = -3, so R' = (-3, 1).

Answer: (-3, 1).