Question

suppose line h is the line with equation y = -1. given a(8, -5), b(6,4), and c(-1, -7), what are the coordinates of the vertices of △abc for the reflection?
rh
a (8,3)
(type an ordered pair.)
b
(type an ordered pair.)

Explanation:

Step1: Find the formula for reflection over \(y = k\)

The formula for reflecting a point \((x,y)\) over the line \(y=k\) is \((x,2k - y)\). Here \(k=-1\), so the formula becomes \((x,2\times(- 1)-y)=(x,-2 - y)\)

Step2: Find the coordinates of \(B'\)

For point \(B(6,4)\), use the formula \((x,-2 - y)\). Substitute \(x = 6\) and \(y = 4\) into the formula.
We get \(x\) - coordinate remains \(6\), and \(y\) - coordinate is \(-2-4=-6\)

Answer:

\((6,-6)\)