Question

Parallelogram ABCD is reflected over the x-axis. What rule shows the input and output of the reflection, and what is the new coordinate of A'?

a) (X,Y)→(y,−x); A' is at (1,5)
b) (X,Y)→(−y,x);A ′ is at (-1,-5)
c) (X,Y)→(−X,Y);A ′ is at (5, 1)
d) (X,Y)→(x,y);A′ is at (-5, -1)

Answer 1

The rule that shows the input and output of a reflection over the x-axis is (X,Y) → (X, -Y).

Step-by-step explanation:

The rule that shows the input and output of a reflection over the x-axis is (X,Y) → (X, -Y). The new coordinate of A' can be found by reflecting the original coordinate of A over the x-axis. If A is at (1, 5), then A' will be at (1, -5).