Answer:
K = 2cm
Explanation:
The figure are similar by AA similarity theorem
A-A similarity theorem was deals with at least the two angles are congrunt then we said that figure is similar.
So in the given figure ∆SRT ~ ∆QPT and if the two triangles are dimilar their coresponding side ratio are equal and their angles are congrunt .
Now our question is to find the scale factor . let it be K
K = QP/SR = PT/RT = QT/ST
K = 4cm/2cm = 6cm/3cm= 6cm /3cm
K = 2cm = 2cm = 2cm ... so the scale factor is 2cm.