Question

write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin.

b((□, □))
c((□, □))
d((□, □))
e((□, □))

Explanation:

Step1: Find original coordinates

From the graph, \(B(-3,-2)\), \(C(0,-2)\), \(D(0,3)\), \(E(-3,3)\)

Step2: Apply dilation formula

For a dilation centered at the origin with scale factor \(k = 3\), the formula is \((x,y)\to(kx,ky)\)

• For \(B(-3,-2)\): \(B'=3\times(-3),3\times(-2)=(-9,-6)\)
• For \(C(0,-2)\): \(C'=3\times0,3\times(-2)=(0,-6)\)
• For \(D(0,3)\): \(D'=3\times0,3\times3=(0,9)\)
• For \(E(-3,3)\): \(E'=3\times(-3),3\times3=(-9,9)\)

Answer:

\(B'(-9,-6)\), \(C'(0,-6)\), \(D'(0,9)\), \(E'(-9,9)\)