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Aug 3, 2023 · The line of symmetry is an imaginary line that divides a shape or an object into identical halves. It is also called the axis of symmetry or the mirror line since it divides the figure symmetrically. Number of Lines of Symmetry. The diagram below shows how a line of symmetry divides a shape into identical halves that are mirror images.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other. More line of symmetry examples are shown in the figure below.
Mathematically, a line of symmetry is a line of reflection that maps any point on the figure back to the figure. The line that cuts through the major axis of the ellipse above is a line of symmetry. When A and B are reflected across it, they are mapped to A' and B', also on the ellipse. This is true for any point on the ellipse.
May 15, 2024 · The equation of the line for the axis of symmetry is x=1. Example 2. Find the axis of symmetry of the parabola y = 4x2. Solution: Given equation : y = 4x 2. Compare the given equation to the standard form ax 2 + bx + c. ⇒ a = 4, b = 0, c = 0. Use the formula of axis of symmetry = −b/2a. = -0/2 (4) ⇒ x = 0.
4 Draw a line from each vertex through the center and check for line symmetry. 5 State the number of lines of symmetry. The equilateral triangle has 3 3 lines of symmetry. An equilateral triangle has 3 3 equal sides and 3 3 equal angles, so it will have 3 3 lines of symmetry.
The line of symmetry also known as a mirror line is a line that divides an object into two identical pieces. Here, we have a square and we can fold it into two equal halves. When a figure is folded in half, along its line of symmetry, both the halves match each other exactly. This line of symmetry is called the axis of symmetry.
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Symmetry And Line Of Symmetry: An Introduction. In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.
