Final answer:
To find the reflected coordinates of a triangle over the x-axis, negate the y-coordinates of each vertex. The correct reflected coordinates are F'(-7, -3), G'(2, -6), and H'(3, -5).
Step-by-step explanation:
The question asks for the coordinates of the vertices of a triangle once it is reflected over the x-axis. When a point is reflected over the x-axis, its x-coordinate remains the same, but the sign of its y-coordinate is changed. So, to find the coordinates of the vertices of the reflected triangle, we only need to negate the y-coordinates of each original point. Applying this to the given vertices
- For F (-7, 3), the reflected point is F'( -7, -3)
- For G (2, 6), the reflected point is G'(2, -6)
- For H (3, 5), the reflected point is H'(3, -5).
Thus, the correct set of reflected coordinates is option C: F'(-7, -3), G'(2, -6), H'(3, -5).