A figure has linear symmetry when
after reflection, the image looks exactly the same as the original
Because linear symmetry defines a line such that the shape is unchanged when REFLECTED in that line.
Yes, they are the same.
b/c it reflects across a linear line
No, a linear function does not have a line of symmetry. Linear functions, which can be expressed in the form (y = mx + b), produce straight lines on a graph that extend infinitely in both directions. Since these lines do not fold over onto themselves at any point, they lack a line of symmetry. Only certain types of functions, like quadratic functions, exhibit lines of symmetry.
Bisecting the line.
M Z C X B N
It is called line symmetry when we can actually draw a line down the middle of a figure that divides the figure into two mirror images.
To determine the line of symmetry for the graph of the equation (y = 4x - 8), we need to identify the axis that divides the graph into two mirror-image halves. For linear equations like this one, the line of symmetry is typically vertical and can be found at the midpoint of the x-intercepts. In this case, since the graph is a straight line, it does not have a line of symmetry unless it is horizontal or vertical. Therefore, the concept of a line of symmetry does not apply to this linear equation.
The quality a design has if it maintains all characteristics when rotated about an axis lying in its plane is called B) Rotational symmetry. This means that the design looks the same after a certain degree of rotation around that axis. Linear symmetry, on the other hand, involves reflection across a line, while translational symmetry refers to a design being invariant under translation.
Linear (horizontal as well as vertical), plus rotational (180 deg).
A figure which is identical on both sides of LINE is said to be symmetrical about that line and that line is called line of symmetryor axsis of symmetry. Line of symetry is also called 'mirror line'
If you're talking about convex polygons with equal sides (eg. equilateral triangles, squares, pentagons, hexagons, etc.), then the relationship is a very direct one. In those cases, there are as many lines of symmetry as there are points in the polygons. A triangle has three lines of symmetry, a square has four, a pentagon five, etc.