Question

triangle xyz is reflected across the line ( y = x ), and ( x=(2,-15) ). what are the coordinates of x?
( (-15,-2) )
( (2,15) )
( (-15,2) )
( (-2,15) )

Explanation:

Step1: Recall reflection rule

When a point \((a,b)\) is reflected across the line \(y = x\), the new point is \((b,a)\).

Step2: Apply the rule

Let \(X=(x,y)\). After reflection across \(y = x\), \(X'=(y,x)\). Given \(X'=(2,-15)\), so \(y = 2\) and \(x=-15\).

Answer:

\((-15,2)\)