Share
Finding Reflections Across the Axis of Symmetry
Published on September 27, 2026
Algebra
Learn how to find the reflections of given coordinate points across the vertical axis of symmetry x = -3 using horizontal distance formulas.
Question
Answer
To find the reflection of a point across a vertical line
In this problem, the axis of symmetry is the vertical line
-
Reflection of
:
Since the point lies exactly on the axis of symmetry, its reflection is itself. -
Reflection of
:
The-coordinate remains . The distance from to the axis is unit to the right. The reflected point will be unit to the left of the axis: -
Reflection of
:
The-coordinate remains . The distance from to the axis is units to the right. The reflected point will be units to the left of the axis:
The reflection of
The reflection of
The reflection of
The reflection of
The reflection of