2. Triangle ABC has vertices A(0,3), B(3,6), and C(12,18). It is dilated with a scale factor of ⅓. Give the new vertices A’, B’, C’ using ordered pairs
To dilate a triangle with a scale factor of ⅓, we need to multiply the x and y coordinates of each vertex by ⅓.
The new x-coordinate of A' = 0 * ⅓ = 0
The new y-coordinate of A' = 3 * ⅓ = 1
The new x-coordinate of B' = 3 * ⅓ = 1
The new y-coordinate of B' = 6 * ⅓ = 2
The new x-coordinate of C' = 12 * ⅓ = 4
The new y-coordinate of C' = 18 * ⅓ = 6
Therefore, the new vertices of triangle ABC after being dilated with a scale factor of ⅓ are A'(0,1), B'(1,2), and C'(4,6).