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?

Explanation:

Step1: Reflection over the y - axis

When a point \((x,y)\) is reflected over the \(y\) - axis, the transformation rule is \((x,y)\to(-x,y)\). For the point \((5,-6)\), after reflection over the \(y\) - axis, it becomes \((- 5,-6)\).

Step2: Translation

The translation rule for moving \(a\) units right and \(b\) units up is \((x,y)\to(x + a,y + b)\). Here \(a = 2\) and \(b=3\).
Substitute \(x=-5\) and \(y = - 6\) into the translation rule:
\(x=-5+2=-3\) and \(y=-6 + 3=-3\)

Answer:

\((-3,-3)\)