True.
true
... point on the other side of the line at the same distance from the lien.
A line of symmetry is a line that divides an image into two identical halves, such that each point on one side of the line has a corresponding point directly opposite it on the other side. This correspondence ensures that the two halves are mirror images of each other, maintaining the same shape and size. In essence, if you were to fold the image along the line of symmetry, the two halves would align perfectly.
Yes, a square has point symmetry. This means that for every point in the square, there is a corresponding point at an equal distance from the center but in the opposite direction. The center of the square serves as the point of symmetry, resulting in identical shapes when the square is rotated 180 degrees around this point.
the axis of symmetry
Point symmetry is a type of symmetry where a figure is identical to its reflection through a central point, known as the center of symmetry. In point symmetry, for every point in the figure, there exists another point at an equal distance from the center but in the opposite direction. This means that if you were to draw a line from one point to the center and extend it an equal distance on the other side, you would find a corresponding point of the figure. Common examples include the graph of a function that is odd or geometric shapes like a star.
Yes, the letter "z" has point symmetry. If you were to rotate the letter 180 degrees around its center point, it would appear unchanged. This characteristic means that for every point on the letter, there is a corresponding point at an equal distance on the opposite side of the center.
When an image has a point of symmetry, it means that for every point in the image, there is a corresponding point directly opposite it at an equal distance from the center point. Therefore, any line drawn through this central point will divide the image into two mirrored halves, making it a line of symmetry. This property holds true for various shapes, as their symmetrical characteristics are defined by their relationship to this central point. Thus, all lines through the point of symmetry serve as lines of symmetry.
true
True
Reflection symmetry, also known as line symmetry or mirror symmetry, occurs when an object can be divided into two identical halves that are mirror images of each other across a line, known as the line of symmetry. This property means that for every point on one side of the line, there is a corresponding point directly opposite on the other side, equidistant from the line. Reflection symmetry is often observed in nature, art, and design, and can be found in shapes, patterns, and even in biological organisms. Objects with reflection symmetry remain unchanged when reflected across the line of symmetry.
False