Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.

Explanation:

Step1: Find original coordinates

From the graph, \(E(-2,-2)\), \(F(1,-2)\), \(G(1,2)\), \(H(-2,2)\)

Step2: Apply dilation formula

For a dilation centered at the origin with scale factor \(k = 4\), the formula is \((x,y)\to(kx,ky)\)

• For \(E(-2,-2)\): \((-2\times4,-2\times4)=(-8,-8)\)
• For \(F(1,-2)\): \((1\times4,-2\times4)=(4,-8)\)
• For \(G(1,2)\): \((1\times4,2\times4)=(4,8)\)
• For \(H(-2,2)\): \((-2\times4,2\times4)=(-8,8)\)

Answer:

\(E'(-8,-8)\), \(F'(4,-8)\), \(G'(4,8)\), \(H'(-8,8)\)