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For example, dhe concave decagon shown below only has 5 lines of symmetry. Even though it has ten sides of equal length, it is not a regular polygon because it is a concave shape. Symmetry in the coordinate plane. In the coordinate plane, the graph of an equation can have symmetry about the x-, y-axis, or some other line. x-axis symmetry
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.
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.
Example 3: using angles. Show that the hexagon below has no lines of symmetry. Locate the centre of the 2D shape. Show step. Draw a small x x in the centre of the hexagon (this does not have to be exact): Use a ruler to visualise a horizontal and/or vertical line of symmetry through the centre of the shape. Show step.
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) has 6 Lines of Symmetry. A Regular Heptagon (7 sides)
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Example 2: a rectangle (lines of symmetry) Locate the center of the 2D shape. Show step. Draw a small x x in the center of the square (this does not have to be exact). This is also known as the central point of the shape. Draw a horizontal and/or vertical line of symmetry through the center of the shape. Show step.
