SOLUTION:
Step 1:
Rotation by 180° about the origin:
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
Then,
P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
180° about vertex R
The rule for a rotation by 180° about R is ( 2, -1 )
CONCLUSION:
The rule for a rotation by 180° about R is ( 2, -1 )