Question

monday - 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? wednesday - 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: Analyze the first transformation (reflection over y - axis)

For a point $(x,y)$ reflected over the y - axis, the new x - coordinate is $-x$ and the y - coordinate remains the same. For the point $(5, - 6)$, after reflection over the y - axis, it becomes $(-5,-6)$.

Step2: Analyze the second transformation (translation)

A translation of 3 units up and 2 units right means we add 2 to the x - coordinate and 3 to the y - coordinate. For the point $(-5,-6)$, the new x - coordinate is $-5 + 2=-3$ and the new y - coordinate is $-6+3 = - 3$.

Answer:

$(-3,-3)$