The vertices of a triangle are P(-2,-4), Q(2,-5), and R(-1,-8). Name the vertices of the image reflected across the y-axis/
For a reflection in the y-axis
(x,y) ----> (-x,y)
To find the image of a triangle reflected across the y-axis, you need to reflect each vertex individually.
To reflect a point across the y-axis, you need to change the sign of its x-coordinate while keeping the y-coordinate the same.
Let's go through the process step by step:
1. Original vertex P(-2,-4):
- Reflecting across the y-axis, the x-coordinate changes sign: P' = (-(-2), -4) = (2, -4).
2. Original vertex Q(2,-5):
- Reflecting across the y-axis, the x-coordinate changes sign: Q' = (-2, -5).
3. Original vertex R(-1,-8):
- Reflecting across the y-axis, the x-coordinate changes sign: R' = (-(-1), -8) = (1, -8).
So, the vertices of the image triangle, when reflected across the y-axis, are P'(2, -4), Q'(-2, -5), and R'(1, -8).