Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2 reflect the triangle over the y - axis. remember to show your work an…

Question

2 reflect the triangle over the y - axis. remember to show your work and write your new labels.

Explanation:

Step1: Recall reflection rule

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

Step2: Identify original points

Let's assume the coordinates of points of the triangle are $A(x_1,y_1)$, $B(x_2,y_2)$ and $C(x_3,y_3)$. Suppose $A(-2,-2)$, $B(-4,-3)$ and $C(-2,-3)$.

Step3: Apply reflection rule

For point $A(-2,-2)$, after reflection over the $y - axis$, the new point $A'(2,-2)$.
For point $B(-4,-3)$, after reflection over the $y - axis$, the new point $B'(4,-3)$.
For point $C(-2,-3)$, after reflection over the $y - axis$, the new point $C'(2,-3)$.

Step4: Plot new triangle

Plot the points $A'(2,-2)$, $B'(4,-3)$ and $C'(2,-3)$ and connect them to form the reflected triangle.

Answer:

The new - labeled points of the reflected triangle are $A'(2,-2)$, $B'(4,-3)$ and $C'(2,-3)$ and the triangle is plotted with these points.