Which statement best summarizes the rotations that turn a square onto itself?(1 point)

Question

Responses

A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.
A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.

A square will rotate onto itself after a 180-degree rotation.
A square will rotate onto itself after a 180-degree rotation.

A square will rotate onto itself after a 90-degree or 180-degree rotation.
A square will rotate onto itself after a 90-degree or 180-degree rotation.

A square will rotate onto itself after a 90-degree rotation.

What is the smallest degree measure for a regular nonagon to rotate onto itself?(1 point)
Responses

30°
30 degrees

60°
60 degrees

40°
40 degrees

80°
Which of the following summarizes the reflections that carry a parallelogram onto itself?(1 point)
Responses

A parallelogram has two lines of reflection that carry it onto itself: one horizontal through the midpoints of each side, and one vertical through the midpoints of the top and bottom.
A parallelogram has two lines of reflection that carry it onto itself: one horizontal through the midpoints of each side, and one vertical through the midpoints of the top and bottom.

A parallelogram does not have any lines of reflection.
A parallelogram does not have any lines of reflection.

A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.
A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.

A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.

Use the image to answer the question.
Rectangle upper W (-2,5) upper A (8,5) upper R (8,-1) upper D (-2,-1) is plotted on a coordinate plane.

Examine the polygon in the figure shown. Identify a line of symmetry that will flip the figure onto itself.

(1 point)
Responses

y=3
y equals 3

x=3
x equals 3

x-axis
x -axis

y-axis
y -axis

Use the image to answer the question.

Hexagon upper W (-n,0) upper X (n,0) upper Y(?,?) upper Z (?,?) upper U (?,-k) upper V (-m,-r) is plotted in quadrants 3 and 4 of an unmarked coordinate plane. The coordinates of each vertex are labeled.

Refer to the polygon in the diagram. Identify a line of reflection that flips the polygon onto itself.

(1 point)
Responses

x=−m
x equals negative m

y=0
y equals 0

y=−r
y equals negative r

x=n

Answer 1

Here are the summarized responses to each of the questions:

1. Which statement best summarizes the rotations that turn a square onto itself?

   • Correct Response: A square will rotate onto itself after 90-degree, 180-degree, 270-degree, and 360-degree rotations.

2. What is the smallest degree measure for a regular nonagon to rotate onto itself?

   • Correct Response: 40 degrees (A regular nonagon has 9 sides, the smallest angle of rotation = 360°/9).

3. Which of the following summarizes the reflections that carry a parallelogram onto itself?

   • Correct Response: A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.

4. Examine the polygon in the figure shown. Identify a line of symmetry that will flip the figure onto itself (for the rectangle).

   • Correct Response: y=3 (This line is the horizontal line through the midpoints of the top and bottom sides of the rectangle).

5. Refer to the polygon in the diagram. Identify a line of reflection that flips the polygon onto itself (for the hexagon).

   • Correct Response: y=0 (This is the horizontal line that reflects the shape about the x-axis, assuming symmetrics in the coordinates).

Please confirm whether you need more detailed explanations or further assistance!