Answer: D. Q(5, −6) and R(−5, 6)
Step-by-step explanation:
We know that if point (x,y) reflected across y axis then the y coordinate remain same but the polarity of x gets change (x become negative).
\(r(x,y)\rightarrow(-x,y)\)
Similarly if point (x,y) reflected across x axis then the x coordinate remain same but the polarity of y gets change (x become negative).
\(r(x,y)\rightarrow(x,-y)\)
Given : P=(-5,-6)
Point P is reflected across the y-axis to obtain point Q , thus
\(r(-5,-6)\rightarrow(5,-6)\)
And point P is reflected across the x-axis to obtain point R, thus
\(r(-5,-6)\rightarrow(-5,6)\)
⇒ Q=(5,-6) and R=(-5,6)
