Question

the vertices of △abc are a( - 5,4), b( - 2,3), and c( - 4,2). if △abc is reflected across the line y = - 1 to produce the image △abc, find the coordinates of the vertex c.
the coordinates of c after a reflection across the line y = - 1 are
(type an ordered pair.)

Explanation:

Step1: Determine the distance from C to the line y = - 1

The y - coordinate of point C is 2. The distance from y = 2 to y=-1 is $d=2 - (-1)=3$.

Step2: Calculate the new y - coordinate of C'

Since we are reflecting across y = - 1, the new y - coordinate of C' is $-1-3=-4$. The x - coordinate remains the same. The x - coordinate of C is - 4.

Answer:

$(-4,-4)$