Question

Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) (-4, 5) across the y-axis Reflect the ordered pair ( 0 , 3 ) (0, 3) across the x-axis ​

Answer 1

Answer:

a) (4,5)

b) (0,-3)

Step-by-step explanation:

We have to perform the following reflection over given ordered pair.

a) Reflect the ordered pair (-4,5) across the y-axis

Reflection over y-axis:

$r: (x,y)\rightarrow (-x,y)$

Thus, (-4,5) will be reflected over y-axis as

$r: (-4,5)\rightarrow (-(-4),5) = (4.5)$

b) Reflect the ordered pair (0,3) across the y-axis

Reflection over x-axis:

$r: (x,y)\rightarrow (x,-y)$

Thus, (0,3) will be reflected over x-axis as

$r: (0,3)\rightarrow (0,-(3)) = (0,-3)$