Rectangle abcd is reflected over the y-axis. what rule shows the input and output of the reflection, and what is the new coordinate of a'?

choices
(x, y)→(y,−x); a' is at (1, 5)
(x, y)→(−y, x); a' is at (−1, −5)
(x, y)→(−x, y); a' is at (5, 1)
(x, y)→(−x,−y); a' is at (5, −1)

option 3 ⇒⇒⇒  (x,y)→(−x,y); A' is at (5, 1)

Step-by-step explanation:

The rule of reflection over y-axis is (x,y)→(-x,y)

A reflection over y-axis representing a flip of a figure around the line x=0

So, the coordinate of y will not changing and coordinate of x will be opposite the original.

To find the coordinate  of A' we need to know the coordinate of A

Given A at (-5,1)

Applying the rule of reflection  (x,y)→(-x,y)

A(-5,1) ⇒⇒⇒A'(5,1)

So, the correct answer will be option 3.

yep

step-by-step explanation: