Question

What ordered pair is the reflection of (5,−8) across the x-axis and the y-axis?

A.(-5,-8)
B.(-5,8)
C.(-8,5)
D.(8,-5)

Answer 1

The answer is B, (-5, 8)

Answer 2

Option A - (-5,-8) ordered pair is the reflection of (5,−8) across the the y-axis.

Explanation:

To find : What ordered pair is the reflection of (5,−8) across the x-axis and the y-axis?

Solution :

Reflection across x-axis - the x value stay the same and y value changes sign i.e. (x,y)→(x,-y).

So, (5,-8)→(5,8)

Reflection across y-axis - the y value stay the same and x value changes sign i.e. (x,y)→(-x,y).

So, (5,-8)→(-5,-8)

Therefore, option A - (-5,-8) ordered pair is the reflection of (5,−8) across the the y-axis.