Question

1. a triangle has vertices a(1,2), b(3,4), c(5,1). after a dilation with a scale factor of 2, what are the coordinates of b?

a. (3,6)
b. (0,0)
c. (6,8)
d. (1.5,2)

Explanation:

Step1: Multiply x - coordinate by scale factor

For point \( B(3,4) \), when dilated with a scale factor \( k = 2 \), the new \( x \) - coordinate is \( x'=3\times2\).

$$x' = 6$$

Step2: Multiply y - coordinate by scale factor

The new \( y \) - coordinate is \( y'=4\times2\).

$$y' = 8$$

Answer:

C. \( (6,8) \)