Axes of Symmetry

An axis of symmetry is a line that divides a shape into two congruent or mirror image halves. When a shape is folded along its axis of symmetry, the two halves will perfectly overlap each other.

For Different Shapes:

1. Triangle: A triangle can have 0, 1, 2, or 3 axes of symmetry, depending on its type. An equilateral triangle has three axes of symmetry, while a scalene triangle has none.

2. Quadrilateral: A square has four axes of symmetry, while a rectangle has two. Other quadrilaterals may have none.

3. Circle: A circle has an infinite number of axes of symmetry, as any line passing through the center will divide the circle into two equal halves.

Equation for the Axis of Symmetry of a Parabola:

The equation for the axis of symmetry of a parabola in the form y = ax² + bx + c is x = -b / (2a).

Real-life Examples:

Many real-life objects have axes of symmetry, such as a butterfly's wings, a human face, or the shape of a snowflake. Understanding axes of symmetry can help in various fields such as art, design, and engineering.

Understanding axes of symmetry is important in geometry and can help in identifying patterns and making predictions about shapes and their properties.

Hopefully, this explanation helps you understand the concept of axes of symmetry!