Question

Obj B: The vertices of a triangle are P(8,2),

Q(-1,-5), and R(-1,-1). Write the coordinates of P'
after a reflection across x=2.

Answer 1

To find the coordinates of a point after a reflection across the line x=2, determine the distance of the point from the line and reflect it accordingly. In this case, the coordinates of P' after the reflection are (-4, 2).

Step-by-step explanation:

To find the coordinates of a point after a reflection across the line x=2, we need to determine the distance of the point from the line x=2. The distance of point P from the line x=2 is 6 units. Since the point is to the right of the line, the reflected point P' will be to the left of the line, at a distance of 6 units from the line x=2. Therefore, the x-coordinate of P' will be 2 - 6 = -4.

The y-coordinate of P' will remain the same since the line x=2 is vertical. Therefore, the coordinates of P' after the reflection are (-4, 2).

Learn more about Reflection across a line