witch one is right

Question

Use the image to answer the question.

A vertical line separates 2 triangles. The triangle to the left of the line is made up of points upper P, upper Q, and upper R, while the triangle on the right is made up of points upper P prime, upper Q prime, and upper R prime.

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

(1 point)
Responses

(1,−3)
left parenthesis 1 comma negative 3 right parenthesis

(−3,1)
left parenthesis negative 3 comma 1 right parenthesis

(11,1)
left parenthesis 11 comma 1 right parenthesis

(−2,7)

Answer 1

To determine the coordinates of point \( R' \) after reflecting triangle \( PQR \) over a vertical line, we need to know the coordinates of point \( R \) and the line of reflection.

Since we don't have the specific coordinates of \( R \) or the line of reflection in your question, I'll outline the general method for reflecting a point across a vertical line:

1. Identify the line of reflection: If the vertical line of reflection is, for example, \( x = a \), then the x-coordinate of the reflected point will be calculated based on the distance from the original point to the line of reflection.

2. Reflecting the point: If the original point \( R \) has coordinates \( (x, y) \), the new x-coordinate \( x' \) of the point \( R' \) after reflection over the line \( x = a \) will be: \[ x' = 2a - x \] The y-coordinate will remain the same, \( y' = y \).

If you provide the coordinates of point \( R \) and the specific position of the vertical line of reflection, I can help calculate the exact coordinates of point \( R' \). Otherwise, none of the options can be determined as correct without that additional information.