Angle \(ABC\) is taken by a dilation with center \(P\) and a scale factor of \(\frac13\) to angle \(A’B’C’\). The measure of angle \(ABC\) is \(21^\circ\). What is the measure of angle \(A’B’C’\)?

Is it possible for polygon \(ABCDE\) to be dilated to figure \(VWXYZ\)? Explain your reasoning.  

1. Lin is using the diagram to prove the statement, “If a parallelogram has one right angle, it is a rectangle.” Given that \(EFGH\) is a parallelogram and angle \(HEF\) is a right angle, write a statement that will help prove that angle \(FGH\) is also a right angle.
2. Han then states that the 2 triangles created by diagonal \(EG\) must be congruent. Help Han write a proof that triangle \(EHG\) is congruent to triangle \(GFE\).