Question

Which of the following coordinates represent the reflection of A and B, where A = (4, 4) and B = (1, 3) across the x-axis?

• A. A' = $(4,-4),$ B' = $(3,-1)$
• B. A' = $(4,-4)$, B' = $(1,-3)$
• C. A' = $(-3,-1)$, B' = $(-2,-4)$
• D. A' = $(3,-1)$, B' = $(-4,-4)$

Answer 1

The correct option is B A' = $(4,-4)$, B' = $(1,-3)$


A reflection or a mirror image is where a point appears to be at the same distance but in the opposite direction across the given axis.

The reflected point A' along the x-axis will be in the fourth quadrant with the coordinates $(x,-y).$
Coordinates of the reflecting point A’ along the x-axis = A' $(4,-4)$

The reflected point B' along the x-axis will be in the fourth quadrant with the coordinates $(x,-y)$.
Coordinates of the reflecting point B' along the x-axis = B' $(1,-3)$