Question

geometry identify the transformation that creates the congruent figures. be as precise as possible. what will be the new point location of point (5,-6) after a reflection over the y - axis and a translation of 3 units up and 2 units right? expressions and equations after solving the balance, write an equation for it. algebra balances. boxes that are the same size and shape must have the same number in them.

Explanation:

Step1: Identify reflection rule

The rule for reflecting a point $(x,y)$ over the $y$-axis is $(-x,y)$. For the point $(5, - 6)$, after reflection over the $y$-axis, the new - point is $(-5,-6)$.

Step2: Identify translation rule

The rule for translating a point $(x,y)$ $a$ units right and $b$ units up is $(x + a,y + b)$. Here $a = 2$ and $b=3$. Starting from the point $(-5,-6)$, after translation 3 units up and 2 units right, we calculate the new $x$-coordinate as $-5+2=-3$ and the new $y$-coordinate as $-6 + 3=-3$.

Answer:

$(-3,-3)$