Question

1. the vertices of a figure are m(-2,1), n(0,3), and p(2,2). part a draw the figure and its reflection in the x - axis.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ in the $x - axis$ is $(x,-y)$.

Step2: Find reflected points

For point $M(-2,1)$, its reflection in the $x - axis$ is $M'(-2, - 1)$.
For point $N(0,3)$, its reflection in the $x - axis$ is $N'(0,-3)$.
For point $P(2,2)$, its reflection in the $x - axis$ is $P'(2,-2)$.
To draw the figure:

1. Plot the original points $M(-2,1)$, $N(0,3)$ and $P(2,2)$ on the coordinate - plane. Connect them to form the original figure.
2. Then plot the reflected points $M'(-2,-1)$, $N'(0,-3)$ and $P'(2,-2)$ on the same coordinate - plane. Connect them to form the reflected figure.

Answer:

The reflected points are $M'(-2,-1)$, $N'(0,-3)$ and $P'(2,-2)$. Plot the original and reflected points as described above.