Question

point b (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. what are the coordinated of b? (20,12) (-20,-12) (5,3) (-5,-3)

Explanation:

Step1: Apply dilation formula

When a point \((x,y)\) is dilated with scale factor \(k\) and center at origin, new point is \((kx,ky)\). Here \(x=-10,y = -6,k=\frac{1}{2}\).

Step2: Calculate new \(x\)-coordinate

\(x'=\frac{1}{2}\times(-10)=-5\)

Step3: Calculate new \(y\)-coordinate

\(y'=\frac{1}{2}\times(-6)=-3\)

Answer:

\((-5,-3)\)