The vertices of a triangle are P(–8, 1), Q(–6, –8), and R(4, –3). Name the vertices of the image reflected across the x-axis.
a point (x,y) reflected about the x-axis becomes (x,-y).
so, for example, (9,4) --> (9,-4)
To find the vertices of the image reflected across the x-axis, we need to negate the y-coordinate of each vertex.
Given that the vertices of the triangle are P(–8, 1), Q(–6, –8), and R(4, –3), we can reflect each vertex across the x-axis to find the new coordinates:
For vertex P(–8, 1), we negate the y-coordinate: P'(–8, –1).
For vertex Q(–6, –8), we negate the y-coordinate: Q'(–6, 8).
For vertex R(4, –3), we negate the y-coordinate: R'(4, 3).
Therefore, the vertices of the reflected triangle across the x-axis are P'(–8, –1), Q'(–6, 8), and R'(4, 3).