Question

1. the coordinates of the vertices of △cde are c(1,4), d(3,6), and e(7,4). what are the coordinates of d when we reflect across the line y = 3?

Explanation:

Step1: Recall the reflection formula

When reflecting a point \((x,y)\) across the line \(y = a\), the formula is \((x,2a - y)\). Here \(a = 3\) and the point \(D=(3,6)\).

Step2: Apply the formula

Substitute \(x = 3\), \(y = 6\) and \(a = 3\) into the formula \(2a - y\). So \(2\times3-6=0\). The \(x -\)coordinate remains the same.

Answer:

\((3,0)\)