Question

graph the image of the figure using the trans

1. reflection across $y = x$

Explanation:

Step1: Find the coordinates of the original points

Assume \( J(0,0)\), \( K(1,4)\), \( L(5,0)\)

Step2: Apply the reflection rule across \( y = x\)

The rule for reflection across \( y=x\) is \((x,y)\to(y,x)\)
For point \( J(0,0)\): \((0,0)\to(0,0)\)
For point \( K(1,4)\): \((1,4)\to(4,1)\)
For point \( L(5,0)\): \((5,0)\to(0,5)\)

Step3: Plot the new points and connect them

Plot \( J'(0,0)\), \( K'(4,1)\), \( L'(0,5)\) and connect them to form the reflected triangle.

Answer:

The image of the triangle \(JKL\) after reflection across \(y = x\) has vertices \(J'(0,0)\), \(K'(4,1)\), \(L'(0,5)\) which can be graphed on the coordinate plane.