Question

The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R?
A. Q(5, 6) and R(−5, −6)
B. Q(−5, −6) and R(5, 6)
C. Q(−5, 6) and R(5, −6)
D. Q(5, −6) and R(−5, 6)

Answer 1

B is the corrdinate points

Answer 2

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)