Question

state the coordinate of the image of the given point b (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2

Explanation:

Step1: Recall Dilation Rule

For a dilation with center at the origin and scale factor \( k \), the rule is \((x,y)\to(kx,ky)\).

Step2: Apply the Rule to Point B

Given point \( B(-10,-6) \) and scale factor \( k = \frac{1}{2} \), we calculate the new coordinates:
\( x' = -10\times\frac{1}{2} = -5 \)
\( y' = -6\times\frac{1}{2} = -3 \)

Answer:

\((-5,-3)\)