Here are your answers for the questions:
Question 1:
A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.
Response: A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.
Question 2:
The smallest degree measure for a regular nonagon to rotate onto itself is 40°.
Response: 40 degrees
Question 3:
A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.
Response: A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.
Question 4:
The line of symmetry that will flip the given rectangle onto itself is the y-axis.
Response: y-axis
Question 5:
Without the image, I can't definitively choose, but if the polygon is in quadrants 3 and 4, it is likely symmetric about the x-axis, since both quadrants involve negative y-values.
Response: x-axis
Make sure to verify the last response based on the actual image provided.