Question

a ray starts at point a and goes through point b. using point a as the center of dilation, dilate point b by a scale factor of 2.
first, find the distance between points a and b.
2 units
what will the distance between points a and b be?
3 units

Explanation:

Step1: Recall the dilation formula

When dilating a point \( B \) with center \( A \) and scale factor \( k \), the distance \( AB'=k\times AB \). Here \( k = 2 \) and \( AB = 2 \) units.

Step2: Calculate \( AB' \)

Substitute \( k = 2 \) and \( AB = 2 \) into the formula \( AB'=k\times AB \). So \( AB'=2\times2\).

Answer:

\(4\) units