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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.
Aug 3, 2023 · Ans. Most irregular polygons do not have any line of symmetry; however, there are a few exceptions. For example, a rectangle has two lines of symmetry and an isosceles triangle has one line of symmetry. Q2. Name the polygon that has nine lines of symmetry. Ans. The polygon that has nine lines of symmetry is nonagon.
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)
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.
- Line of Symmetry Definition
- Types of Lines of Symmetry
- Lines of Symmetry For Regular Polygons
- Solved Examples on Lines of Symmetry For Regular Polygons
- Summary
- FAQs
The line of symmetry is an imaginary line or axis along which you may fold a figure to create symmetrical halves. It’s also known as the symmetry axis. Because it shows two identical reflections of an image, the line symmetry is also known as a mirror line. As a result, it’s a form of reflection symmetry. It essentially splits a thing in half. Ther...
Any combination of vertical, horizontal, and diagonal lines or axes can be used. However, there are two distinct types of symmetry lines: 1. Vertical Line of Symmetry 2. Horizontal Line of Symmetry
A polygon is a closed shape made up of several line segments. A triangle is the smallest polygon with the fewest number of line segments. If all of the sides of a polygon have the same length and all angles are of the same measure, it is regular. As a result, an equilateral triangle is a regular three-sided polygon. Every regular polygon wil be hav...
Q.1. Give three examples of shapes with no line of symmetry. Ans:A scalene triangle, a parallelogram, and a trapezium do not have any line of symmetry. Q.2. What other name can you give to the line of symmetry of (a) an isosceles triangle? (b) a circle? Ans: a) An isosceles triangle has only one line of symmetry, which can also be called the median...
In this article, we have seen the definition of symmetry lines, types of symmetry lines, lines of symmetry in regular polygons like a triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, etc. Also, we discussed the lines of symmetry in a circle. Learn About Reflection Symmetry
Q.1. Do all regular polygons have a line of symmetry? Ans:Each regular polygon has a line of symmetry. The number of lines of symmetry will be equal to the number of sides of the regular polygon. Q.2. How many lines of symmetry does a 12sided polygon have? Ans:A \(12\) -sided polygon has \(12\) lines of symmetry. Q.3. What is the other name of the ...
8. Rectangle: In the figure there are two lines of symmetry. The figure is symmetric along the lines l and m joining the midpoints of opposite sides. 9. Rhombus: A rhombus has two lines of symmetry-along the diagonals of the rhombus. In the figure there are two lines of symmetry.
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The number of lines of symmetry in a regular polygon is always the same as the number of sides! Take a look at these examples: Equilateral triangle. Image caption, 3 lines of symmetry.