The verticies of a triangle are P(-4,1), Q(-2, -8), and R(8, -1). What are the verticies of the image reflected across the x-axis? (1 point)
The x-axis is the line y = 0. To reflect a point across the x-axis, we keep the x-coordinate the same and negate the y-coordinate.
The image of point P(-4,1) reflected across the x-axis is P'(-4, -1).
The image of point Q(-2, -8) reflected across the x-axis is Q(-2, 8).
The image of point R(8, -1) reflected across the x-axis is R(8, 1).
Therefore, the vertices of the image reflected across the x-axis are P'(-4, -1), Q(-2, 8), and R(8, 1).
To find the vertices of the image reflected across the x-axis, we need to change the sign of the y-coordinate of each vertex.
Let's go through each vertex and apply this reflection:
For vertex P(-4,1):
The x-coordinate stays the same, but the y-coordinate changes sign.
Thus, the reflected vertex is P'(-4, -1).
For vertex Q(-2, -8):
Again, the x-coordinate remains the same, but the y-coordinate changes sign.
Thus, the reflected vertex is Q'(-2, 8).
For vertex R(8, -1):
Once more, the x-coordinate remains unchanged, but the y-coordinate changes sign.
Therefore, the reflected vertex is R'(8, 1).
So, the vertices of the image reflected across the x-axis are P'(-4, -1), Q'(-2, 8), and R'(8, 1).
To find the vertices of the image reflected across the x-axis, we need to keep the x-coordinate the same but change the sign of the y-coordinate.
Let's go through each vertex one by one:
1. Vertex P(-4, 1):
The x-coordinate remains the same: -4
The y-coordinate changes sign: -1
Therefore, the new coordinates for P will be (-4, -1).
2. Vertex Q(-2, -8):
The x-coordinate remains the same: -2
The y-coordinate changes sign: 8
Therefore, the new coordinates for Q will be (-2, 8).
3. Vertex R(8, -1):
The x-coordinate remains the same: 8
The y-coordinate changes sign: 1
Therefore, the new coordinates for R will be (8, 1).
So, the vertices of the image reflected across the x-axis are P'(-4, -1), Q'(-2, 8), and R'(8, 1).