Triangle ABC is has points A(4,-3), B(2, 4), C(-3, -6). Dilate the figure with a center of dilation at the origin and a scale factor of 1/3.

Answer 1

In general, I recommend drawing such problems on graph paper.

Plot the points A (4, -3), B (2, 4) and C (-3, -6).

Join the points to draw the triangle ABC.

Draw a line from the center of dilation - in this case the origin, (0,0) - to the point A. Measure it and multiply by the scale factor - in this case 1/3 - and then mark this point - A' - at this distance from the center of dilation. Repeat for B and C to get B' and C'.

Draw triangle A'B'C' and write down (from your graph) the transformed coordinates for each vertex.

However, in this problem, as the center of dilation is the origin, and coordinates are measured from the origin, we have a shorcut. We can calculate the modified points directly, simply by multiplying each coordinate by 1/3.

A' = (⁴/₃, -1)

B' = (²/₃, ⁴/₃)

C' = (-1, -2)