You can spot two equilateral triangles and one trapezium in this composition. Move 3 matchsticks to get only 2 rhombi and no other shapes.

Move 2 matchsticks to get 4 equilateral triangles out of this heart.

Only two squares are completed here. Move 2 matchsticks to get three squares.

Move 3 matchsticks to get 11 squares. Overlapping of the matchsticks is allowed.

Move 1 matchstick to make the house face east instead of west.