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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 = ax 2 + bx + c, the line symmetry equation is of the form x = n, where n is a real number. The line of symmetry equation is given by, x = -b/2a.
Here you will learn about lines of symmetry, including symmetry properties within polygons, angle properties, and symmetry of different line graphs. Students first learn about line symmetry in grade 4 with their work with 2D shapes in geometry.
In the coordinate plane, the graph of an equation can have symmetry about the x-, y-axis, or some other line. x-axis symmetry. A graph is said to have x-axis symmetry if whenever the point, (x, y), is on the graph, then (x, -y) is also on the graph. y-axis symmetry. A graph has y-axis symmetry if whenever the point (x, y) is on the graph, then ...
Horizontal Line of Symmetry : The symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry. Line of Symmetry in A to Z. 1) How Many line / lines of symmetry the given figure have ? Answer: The given figure have 1 line of symmetry.
May 15, 2024 · This means that the axis of symmetry is the vertical line passing through x = -b/ (2a). This line will split the parabola into two equal halves. For example, if we are given the equation for a parabola in standard form such as y = x 2 + 6x + 3, we know that a=1, b=6, and c=3.
The imaginary line or axis along which you fold a figure to obtain the symmetrical halves is called the line of symmetry. It basically divides an object into two mirror-image halves. The line of symmetry can be vertical, horizontal or diagonal.
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) has 5 Lines of Symmetry. A Regular Hexagon (6 sides)
