Question

read the following question and perform the correct transformations for each of the following questions.

1. reflect \\( \triangle a b c \\) over the \\( y = x \\). label its image on the graph using prime notation. list the coordinates for the image on the lines provided. (5 points)

\\( a ^ { prime } \\)
\\( b ^ { prime } \\)
\\( c ^ { prime } \\)

Explanation:

Step1: Find coordinates of \(A\), \(B\), \(C\)

From the graph, \(A(-4,2)\), \(B(-3,5)\), \(C(-1,2)\)

Step2: Apply reflection rule over \(y = x\)

The rule for reflecting a point \((x,y)\) over the line \(y=x\) is \((x,y)\to(y,x)\)
For \(A(-4,2)\): \((-4,2)\to(2,-4)\)
For \(B(-3,5)\): \((-3,5)\to(5,-3)\)
For \(C(-1,2)\): \((-1,2)\to(2,-1)\)

Answer:

\(A'(2,-4)\)
\(B'(5,-3)\)
\(C'(2,-1)\)