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QUESTION IMAGE

start by reflecting the vertices, q, r, s, and t, of quadrilateral qrst…

Question

start by reflecting the vertices, q, r, s, and t, of quadrilateral qrst over the x - axis.
original point | points after reflection over x - axis
q (-3,6) | q
r (-1,6) | r
s (-1,2) | s
t (-4,2) | t

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$.

Step2: Reflect point Q

For point $Q(-3,6)$, applying the rule $(x,-y)$, we get $Q'(-3,-6)$.

Step3: Reflect point R

For point $R(-1,6)$, applying the rule $(x,-y)$, we get $R'(-1,-6)$.

Step4: Reflect point S

For point $S(-1,2)$, applying the rule $(x,-y)$, we get $S'(-1,-2)$.

Step5: Reflect point T

For point $T(-4,2)$, applying the rule $(x,-y)$, we get $T'(-4,-2)$.

Answer:

Original PointPoints after reflection over x - axis
R(-1,-6)
S(-1,-2)
T(-4,-2)