Question

write the coordinates of the vertices after a reflection over the x - axis.

b ( , )
c ( , )
d ( , )

Explanation:

Step1: Identify original coordinates

Original vertices: $B(-2, -2)$, $C(4, -2)$, $D(-6, -7)$

Step2: Apply x-axis reflection rule

For a point $(x,y)$, reflection over x-axis is $(x, -y)$.

• $B'$: $(-2, -(-2)) = (-2, 2)$
• $C'$: $(4, -(-2)) = (4, 2)$
• $D'$: $(-6, -(-7)) = (-6, 7)$

Answer:

$B'(-2, 2)$
$C'(4, 2)$
$D'(-6, 7)$