Question

triangle abc is dilated by a scale factor of $\frac{1}{2}$ from the origin to create triangle a b c. what are the coordinates of a? (2, 0) (2, 1) (1, 2) (4, 8)

Explanation:

Step1: Identify coordinates of A

From the graph, the coordinates of point A are (2, 4).

Step2: Apply dilation formula

When dilating a point (x, y) by a scale factor k from the origin, the new coordinates (x', y') are given by (kx, ky). Here k = $\frac{1}{2}$, x = 2, y = 4. So x'=$\frac{1}{2}\times2 = 1$ and y'=$\frac{1}{2}\times4 = 2$.

Answer:

(1, 2)