# Math Help - What does the problem mean?

1. ## What does the problem mean?

The points (– 2, 1) and (–5, 4) are reflected with respect to the
y – axis. What is the area of the figure formed by the two points
and their reflections?

2. ## Re: What does the problem mean?

A point $(x,y)$ reflected across the $y$-axis becomes $(-x,y)$.

3. ## Re: What does the problem mean?

Hello, rcs!

The points P(–2, 1) and Q(–5, 4) are reflected with respect to the y–axis.
What is the area of the figure formed by the two points and their reflections?

Think of the y-axis as a mirror.

Code:
                |
|
(-2,1)     |     (2,1)
P* - - - + - - - *P'
:       |       :
--+---+---+---+---+--
-2  -1   |   1   2
|
$\text{The "image" of }P(\text{-}2,1)\,\text{ is }\,P'(2,1).$