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Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
- Line Symmetry Representation
- Line Symmetry in Square
- Line Symmetry in Rectangle
- Line Symmetry in Triangle
- Line Symmetry in Circle
The very first thing to check is that the object tends to have a reflection of one-half. Imagine folding a rhombus or square along each line of symmetry and each of the half matching up perfectly, then this is symmetry. Thus, a shapehas to have at least one line of symmetry to be considered as a shape with line symmetry or mirror symmetry. It is kn...
A square has 4 lines of symmetry, which are lines through the opposite vertices, and the lines through the midpointsof opposites sides make up the four lines of symmetry. So, a square has 1 vertical, 1 horizontal, and 2 diagonal lines of symmetry.
A rectanglehas two lines of symmetry, that is lines through the midpoints of opposites sides. When a rectangle is folded across its diagonals, the shape is not symmetrical. So, a rectangle has just 1 vertical and 1 horizontal line of symmetry.
The line symmetry in a triangledepends upon its sides. If a triangle is scalene, then it has no line symmetry. If a triangle is isosceles, then it has at least one line of symmetry, and if the triangle is equilateral, then it has three lines of symmetry.
Since an infinite number of lines can be drawn inside a circlepassing through its center, therefore a circle has an infinite number of lines of symmetry. In coordinate geometry, a parabola has a line symmetry and its line of symmetry passes through its vertex. For a parabola with quadratic equation y = ax2+ bx + c, the line symmetry equation is of ...
1. Symmetry of a Line: A line has indefinite length and it can be considered that each line perpendicular to the given line divides the line into two equal halves. So a line has infinite symmetrical lines which are perpendicular to it. Also a line is symmetrical to itself. 2. Symmetry of a Line Segment:
Symmetry defines that the shape is identical on both sides when it is divided by a line. The symmetry of different shapes, regular or irregular. Learn about the symmetry of shapes with examples at BYJU’S.
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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.
Line of symmetry equation. Given a quadratic equation in standard form, ax 2 + bx + c, we can find the equation of the line of symmetry of the parabola as: For example, given the equation 2x 2 + 3x - 5, the equation for the axis of symmetry of the parabola is: Thus, the parabola has a vertical line of symmetry at .
Triangles. A Triangle can have 3, or 1 or no lines of symmetry: Quadrilaterals. Different types of Quadrilaterals (a 4-sided plane shape): Regular Polygons. A regular polygon has all sides equal, and all angles equal: An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides)