graph the image of rectangle klmn after a dilation with a scale factor of 4, centered at the origin.

Explanation:

Step1: Identify original vertices

Let (K(-1,-2)), (L(1,-2)), (M(1,1)), (N(-1,1))

Step2: Apply dilation formula

For a dilation centered at the origin with scale - factor (k = 4), the formula for a point ((x,y)) is ((kx,ky)). For point (K): ((-1\times4,-2\times4)=(-4,-8)) For point (L): ((1\times4,-2\times4)=(4,-8)) For point (M): ((1\times4,1\times4)=(4,4)) For point (N): ((-1\times4,1\times4)=(-4,4))

Step3: Graph new rectangle

Plot the points ((-4,-8)), ((4,-8)), ((4,4)), ((-4,4)) and connect them to form the dilated rectangle.

Answer:

Plot the points ((-4,-8)), ((4,-8)), ((4,4)), ((-4,4)) and connect them to get the dilated rectangle of (KLMN).