Question

write the coordinates of the vertices after a dilation with a scale factor of 5, center origin.

Explanation:

Step1: Identify original coordinates

$C(-2,-2)$, $D(2,-2)$, $E(2,0)$, $F(-2,0)$

Step2: Apply dilation formula

For a dilation with scale - factor $k = 5$ centered at the origin $(x,y)\to(kx,ky)$.
For point $C$: $x=-2,y = - 2$, new coordinates are $(5\times(-2),5\times(-2))=(-10,-10)$
For point $D$: $x = 2,y=-2$, new coordinates are $(5\times2,5\times(-2))=(10,-10)$
For point $E$: $x = 2,y = 0$, new coordinates are $(5\times2,5\times0)=(10,0)$
For point $F$: $x=-2,y = 0$, new coordinates are $(5\times(-2),5\times0)=(-10,0)$

Answer:

$C'(-10,-10)$, $D'(10,-10)$, $E'(10,0)$, $F'(-10,0)$