GCSE Maths Practice: transformations

Question 3 of 10

Determine coordinates after reflection over the line y=x.

‹ ›

\( \begin{array}{l}\text{What are the new coordinates after reflecting (x,y) across the line } y=x\text{?}\end{array} \)

Choose one option:

Swap the x- and y-values when reflecting across y=x.

Reflecting a point across the line y=x swaps its x- and y-coordinates. For example, (x,y) becomes (y,x). This transformation preserves distances and angles, but changes the position of points relative to the line. Understanding reflections is important for symmetry problems, coordinate geometry, and transformations. Practice plotting points and their images under reflections to build intuition and accuracy. Recognize the differences between reflections across axes and across lines like y=x.