How many lines of symmetry does
this polygon have?
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Identifying Line Symmetry in Irregular Polygons, Study notes of Analytical Geometry
Learn how to identify line symmetry in irregular polygons through folding techniques. This lesson covers common misconceptions and provides examples of polygons with no lines of symmetry, as well as those with horizontal, vertical, and diagonal lines of symmetry.
What you will learn
- Can all irregular polygons have 4 lines of symmetry?
- What is line symmetry in polygons?
- How many lines of symmetry does the arrow in the document have?
- Which types of lines of symmetry are possible in irregular polygons?
- How can you identify line symmetry in irregular polygons?
Typology: Study notes
2021/2022
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How many lines of symmetry does this polygon have?
In this lesson you will learn how to
identify line symmetry in irregular
polygons by folding the figure into
matching parts.
A Common Misunderstanding Line Symmetry
- Remember when we fold on the line of symmetry we need to have two equal parts.
A Common Misunderstanding Regular 4 congruent sides means 4 lines of symmetry Irregular Opposite sides are congruent – will not have 4 lines of symmetry
Core Lesson The arrow does not have a vertical line of symmetry.
Core Lesson The arrow does not have a diagonal line of symmetry.
Core Lesson This lightning bolt has NO lines of symmetry.
Core Lesson The trapezoid does not have a horizontal line of symmetry.
Core Lesson This trapezoid has 1 vertical line of symmetry.