Final answer:
To calculate the coordinates of the vertices of the dilated triangle R'S'T', multiply the coordinates of each vertex of the original triangle RST by the scale factor of 34.
Step-by-step explanation:
To find the coordinates of the vertices of the dilated triangle R'S'T', multiply the coordinates of the original triangle RST by the scale factor of 34. The process involves a straightforward multiplication of each vertex's x-coordinate and y-coordinate by the scale factor.
For each vertex R, S, and T of triangle RST with coordinates (Rx, Ry), (Sx, Sy), and (Tx, Ty) respectively, the coordinates of the corresponding vertices R', S', and T' of triangle R'S'T' are calculated as follows:
- R' = (34 * Rx, 34 * Ry)
- S' = (34 * Sx, 34 * Sy)
- T' = (34 * Tx, 34 * Ty)
Once the coordinates are calculated, you will have the vertices of the dilated image R'S'T'.