Question

part 1 of 3
suppose line m is the line with the equation ( x = - 5 ), line n is the line with the equation ( y = 1 ), line g is the line with the equation ( y = x ), and line h is the line with the equation ( y = - 2 ). given ( a ( 9, - 3 ) ), ( b ( 6,4 ) ), and ( c ( - 1, - 5 ) ), what are the coordinates of the vertices of ( \triangle a ^ { prime } b ^ { prime } c ^ { prime } ) for the reflection ( r _ { g } ) ?
( a ^ { prime } square ) (type an ordered pair.)

Explanation:

Step1: Reflection over the line \(y = x\)

When reflecting a point \((a,b)\) over the line \(y=x\), the transformation rule is \((a,b)\to(b,a)\). Given \(A(9, - 3)\), after reflection over \(y = x\), \(A\) becomes \((-3,9)\)

Answer:

\((-3,9)\)