Question

Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).

Answer 1

Answer:

$S' = (-5,-5)$

$Q"=(-5,-5)$

Step-by-step explanation:

Given

$S = (5,-5)$

$Q= (5,5)$

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

$(x,y) \to (-x,y)$

So, we have:

$S(5,-5) \to S'(-5,-5)$

Hence:

$S' = (-5,-5)$

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

$(x,y) \to (x,-y)$

So:

$Q(5,5) \to Q'(5,-5)$

The rule to reflect across y-axis is:

$(x,y) \to (-x,y)$

So:

$Q'(5,-5) \to Q"(-5,-5)$

Hence:

$Q"=(-5,-5)$