Question

the rectangle cdef, shown below, is reflected across the x - axis to form the image cdef.
write the coordinates of the vertices of cdef.
good start! your coordinates for c and d are correct.
however, let me ask you to double - check e and f. when
you reflect a point across the x - axis, what happens to the
y - coordinate? apply that rule to the original y - coordinates
of e and f.
ask the ai coach a question

Explanation:

Step1: Find original coordinates

From the graph, \(C(-3,10)\), \(D(-3,6)\), \(E(-10,6)\), \(F(-10,10)\).

Step2: Apply reflection rule

The rule for reflecting a point \((x,y)\) across the \(x -\)axis is \((x,-y)\).
For point \(C(-3,10)\), after reflection \(C'(-3,- 10)\).
For point \(D(-3,6)\), after reflection \(D'(-3,-6)\).
For point \(E(-10,6)\), after reflection \(E'(-10,-6)\).
For point \(F(-10,10)\), after reflection \(F'(-10,-10)\).

Answer:

\(C'(-3,-10)\), \(D'(-3,-6)\), \(E'(-10,-6)\), \(F'(-10,-10)\)