Question

Draw a triangle on a graph sheet and draw its dilation with scale factor 3. Are those two figures are similar? 

Answer 1

Step – 1:

Draw a △ PQR and choose the center of dilation C which is not on the triangle. Join every vertex of the triangle from C and produce.

Step – 2: 

By using compasses, mark three points P’, Q’ and R’ on the projections so that 

CP’ = k(CP) = 3CP 

CQ’ = 3 CQ

CR’ = 3 CR

Step- 3: 

Join P’Q’,Q’R’ and R’P’. 

Notice that △P’Q’R’ ~ △PQR