Question

write the coordinates of the vertices after a dilation with a scale factor of 2, centered at the origin.

Explanation:

Step1: Find original coordinates

From the graph, \(B(-6,-5)\), \(C(3,-5)\), \(D(4,-1)\), \(E(-3,-1)\)

Step2: Apply dilation formula

For a dilation centered at the origin with scale factor \(k = 2\), the formula is \((x,y)\to(2x,2y)\)

• For \(B(-6,-5)\): \((2\times(-6),2\times(-5))=(-12,-10)\)
• For \(C(3,-5)\): \((2\times3,2\times(-5))=(6,-10)\)
• For \(D(4,-1)\): \((2\times4,2\times(-1))=(8,-2)\)
• For \(E(-3,-1)\): \((2\times(-3),2\times(-1))=(-6,-2)\)

Answer:

\(B'(-12,-10)\), \(C'(6,-10)\), \(D'(8,-2)\), \(E'(-6,-2)\)