Question

1. triangle bcd with vertices b(-2, 3), c(8, 7), and d(-1, -5): y = x b (__, ) c (, ) d (, __)

Explanation:

Step1: Recall the rule for reflection over \(y = x\)

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

Step2: Apply the rule to point \(B(-2,3)\)

For \(B(-2,3)\), swap \(x\) and \(y\). So \(B'=(3,-2)\).

Step3: Apply the rule to point \(C(8,7)\)

For \(C(8,7)\), swap \(x\) and \(y\). So \(C'=(7,8)\).

Step4: Apply the rule to point \(D(-1,-5)\)

For \(D(-1,-5)\), swap \(x\) and \(y\). So \(D'=(-5,-1)\).

Answer:

\(B'(3,-2)\), \(C'(7,8)\), \(D'(-5,-1)\)