3. a triangle with vertices at the points x(2, 1) y(1, -4) and z(-2, -2) is reflected over the y axis. what…

3. a triangle with vertices at the points x(2, 1) y(1, -4) and z(-2, -2) is reflected over the y axis. what are the new coordinates of y?

3. a triangle with vertices at the points x(2, 1) y(1, -4) and z(-2, -2) is reflected over the y axis. what are the new coordinates of y?

Answer

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point Y

The coordinates of point Y are $(1, - 4)$. Using the rule $(-x,y)$, when $x = 1$ and $y=-4$, the new x - coordinate is $-1$ and the y - coordinate remains $-4$.

Answer:

$(-1,-4)$