Question

triangle abc will be dilated according to the rule $d_{f, 0.25}(x,y)$, where point f is the center of dilation. what will be the coordinates of vertex a of the image? \\(\circ\\) (-8,-4) \\(\circ\\) (-2,-1) \\(\circ\\) (0, 0) \\(\circ\\) (1, 0)

Explanation:

Step1: Identify coordinates

Coordinates: $A(-5,-3)$, $F(3,1)$

Step2: Find horizontal/vertical distances

Horizontal: $-5 - 3 = -8$
Vertical: $-3 - 1 = -4$

Step3: Apply dilation factor

New horizontal: $3 + 0.25\times(-8) = 1$
New vertical: $1 + 0.25\times(-4) = 0$

Answer:

(1, 0)