What is Symmetry? - Basics | Line of Symmetry | Don't Memorise

TL;DR

Shapes can have different axes of symmetry, such as horizontal, vertical, and diagonal lines, with some shapes having multiple axes of symmetry.

Transcript

To understand what symmetry is let's draw an Isosceles triangle. It's a triangle in which two of its sides are equal. Now let me give you an easy task. You need to think if we can divide this triangle into two parts such that both the parts match exactly when they're folded along a line. How would you divide the triangle if this condition has to be... Read More

Key Insights

• 🫥 Shapes can have different axes of symmetry, including horizontal, vertical, and diagonal lines.
• 🚥 Rectangles have both horizontal and vertical axes of symmetry.
• 🫤 Squares have additional diagonal axes of symmetry.
• 🫥 Regular hexagons have multiple axes of symmetry, including diagonals and lines joining midpoints.
• ⭕ Circles have infinite axes of symmetry.
• 😀 Symmetry is commonly found in nature, with human faces being a prime example.

Questions & Answers

Q: How is symmetry determined in shapes?

Symmetry in shapes is determined by dividing the shape into two parts that match exactly when folded along a line.

Q: Can a shape have more than one axis of symmetry?

Yes, a shape can have more than one axis of symmetry. For example, rectangles have both horizontal and vertical axes, and squares also have diagonal axes of symmetry.

Q: Are diagonals considered axes of symmetry?

No, diagonals are not always considered axes of symmetry. Folding a shape along a diagonal line may not result in matching parts that overlap exactly.

Q: How many axes of symmetry does a regular hexagon have?

A regular hexagon has six axes of symmetry. These include the horizontal, vertical, diagonal, and the lines joining the midpoints of its sides.

Summary & Key Takeaways

• Symmetry in shapes is determined by dividing the shape into two parts that match exactly when folded along a line.

• Isosceles triangles can have a vertical or horizontal axis of symmetry, depending on the line they are folded along.

• Rectangles have both a horizontal and vertical axis of symmetry, while squares have additional diagonal axes of symmetry.