Question

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 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 does not have any lines of reflection. A parallelogram does not have any lines of reflection. A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.

Answer 1

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

However, it is also important to note that a parallelogram has additional lines of symmetry depending on its shape. A rectangle, for example, has lines of reflection along both midpoints (horizontal and vertical) and its diagonals. In a general parallelogram, the diagonals are the primary lines of reflection that carry it onto itself.

Answer 2

Examine the polygon in the figure shown. Identify a line of symmetry that will flip the figure onto itself. (1 point) Responses x-axis x -axis y-axis y -axis y=3 y equals 3 x=3

Answer 3

To identify a line of symmetry that will flip the figure onto itself, we need to consider the characteristics of the polygon in relation to the lines provided. Without seeing the actual figure, I can provide general guidance about the possible lines of symmetry:

1. x-axis: This line would reflect the figure around the horizontal axis. If the polygon looks the same above and below this axis, then it has symmetry along the x-axis.

2. y-axis: This line would reflect the figure around the vertical axis. If the polygon looks the same to the left and right of this axis, then it has symmetry along the y-axis.

3. y=3: This horizontal line is located above the x-axis. If part of the polygon mirrors itself on either side of this line, then it has symmetry along this line.

4. x=3: This vertical line is positioned to the right of the y-axis. If the polygon has a mirror image both to the left and right of this vertical line, then it has symmetry along this line.

Without more details about the polygon, I can't provide a definitive answer. However, you can determine the line of symmetry by visually assessing whether the polygon looks the same on both sides of each of the provided lines. If you have a specific polygon in mind, please describe its features and positions relative to these lines for a more accurate identification!

Answer 4

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 x=n x equals n y=0 y equals 0 y=−r y equals negative r Skip to navigation

Answer 5

To identify a line of reflection that flips a polygon onto itself, you need to find a line that divides the polygon into two mirror-image halves. Here’s how you can determine which option might be correct:

1. x = -m: This vertical line is at a position to the left of the y-axis. If the polygon is symmetric around this line, it could be a potential line of reflection.

2. x = n: This vertical line is located at the position to the right of the y-axis. If the polygon is symmetric around this line, it could also be a potential line of reflection.

3. y = 0: This is the x-axis. If the polygon is symmetric when reflected over the x-axis, then this line would be the correct answer.

4. y = -r: This is a horizontal line below the x-axis. If the polygon mirrors itself about this line, it could also be a potential line of reflection.

To select the correct answer, you would need to find out where the vertices of the polygon are located in relation to these lines.

• If the polygon looks the same when flipped across the x-axis (y = 0), then that would be your answer.
• If it mirrors perfectly on either vertical line, then you would choose the appropriate vertical line based on the position of the polygon in the diagram.

If you can provide details about the polygon, such as its shape or coordinates, I could help you pin down the specific line of reflection more accurately!