Question

graph the image of square j k l m after a dilation with a scale factor of 5, centered at the origin.

Explanation:

Step1: Find the coordinates of original square

The coordinates of square \(JKLM\) are \(J(1,0)\), \(K(2,0)\), \(L(2,1)\), \(M(1,1)\)

Step2: Apply the dilation formula

The dilation formula centered at the origin is \((x,y)\to(kx,ky)\), where \(k = 5\)
For point \(J(1,0)\): \((1\times5,0\times5)=(5,0)\)
For point \(K(2,0)\): \((2\times5,0\times5)=(10,0)\)
For point \(L(2,1)\): \((2\times5,1\times5)=(10,5)\)
For point \(M(1,1)\): \((1\times5,1\times5)=(5,5)\)

Step3: Plot the new points

Plot the points \((5,0)\), \((10,0)\), \((10,5)\), \((5,5)\) and connect them to form the dilated square.

Answer:

The coordinates of the dilated square are \(J'(5,0)\), \(K'(10,0)\), \(L'(10,5)\), \(M'(5,5)\). Plot these points and connect them to get the image of square \(JKLM\) after dilation.