A figure that can be reflected across a line so that the image coincides with the pre-image is called a "line of symmetry." For example, a rectangle has two lines of symmetry—one vertical and one horizontal—where reflecting the rectangle across either line results in the same shape overlapping perfectly with the original. Similarly, a circle has infinite lines of symmetry, as it can be reflected across any line that passes through its center.
When a figure is reflected across a line, its orientation changes, meaning that the figure appears as a mirror image relative to the line of reflection. However, the size, shape, and distances between points in the figure remain unchanged. This transformation preserves congruence, maintaining all angles and lengths.
The formal term for the line that an object is reflected across is the "line of reflection." This line serves as the axis that creates a mirror image of the object on the opposite side. In geometric terms, each point on the object is mapped to a corresponding point on the reflected image, equidistant from the line of reflection.
When the point (-3, 2) is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. Thus, the resulting image of the point after the reflection is (-3, -2).
To find the image of the point (-7, 1) reflected across the y-axis, you need to change the sign of the x-coordinate while keeping the y-coordinate the same. Therefore, the x-coordinate of -7 becomes 7, resulting in the reflected point being (7, 1).
Not normally but there will be a change in the coodinates of the reflected image on the Cartesian plane
False
The property is Reflection Symmetry, Line Symmetry or Mirror Symmetry
You do a flip in geometrey when you do transformations. Flip is a transformation in which a plane figure is flipped or reflected across a line, creating a mirror image of the original figure.
When a figure is reflected across a line, its orientation changes, meaning that the figure appears as a mirror image relative to the line of reflection. However, the size, shape, and distances between points in the figure remain unchanged. This transformation preserves congruence, maintaining all angles and lengths.
When a figure is reflected, its orientation changes, meaning that the figure appears as a mirror image across the line of reflection. While the shape and size of the figure remain unchanged, the relative positions of points in the figure are reversed. This transformation preserves distances and angles, maintaining congruence with the original figure.
It still has the same weight. Even turned or reflected the weight/mass remains the same.
They are (4, -6).
To find the image of the point (3, 5) reflected across the x-axis, you keep the x-coordinate the same and negate the y-coordinate. Thus, the reflection of (3, 5) across the x-axis is (3, -5).
The formal term for the line that an object is reflected across is the "line of reflection." This line serves as the axis that creates a mirror image of the object on the opposite side. In geometric terms, each point on the object is mapped to a corresponding point on the reflected image, equidistant from the line of reflection.
When the point (-3, 2) is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. Thus, the resulting image of the point after the reflection is (-3, -2).
To find the image of the point (-7, 1) reflected across the y-axis, you need to change the sign of the x-coordinate while keeping the y-coordinate the same. Therefore, the x-coordinate of -7 becomes 7, resulting in the reflected point being (7, 1).
Not normally but there will be a change in the coodinates of the reflected image on the Cartesian plane